By mistake erased a number you need to have urgently and you didn't back it up, any chance you can restore the call history on my iPhone? Well, the answer is definitely YES. There are three ways that you can use to recover iPhone call history: directly scan your iPhone, extract from your iTunes backup and recover from iCloud backup. These three ways let you recover missed calls, incoming calls and outgoing calls as you want. Now in the following paragraphs we will show you the instruction step by step.
To get back deleted call history on iPhone(iPhone 6s/6s Plus/6/6 Plus/5s/4), all you need to do is to get an iPhone call history recovery tool which can help you find the call log out. Here we highly recommend iRefone to you.
iRefone, as specialized iOS data recovery software allows you to preview and selectively restore your calls so you'll not have to recover all the records and delete most of the no used numbers all over again. It applies to many versions of iOS devices including iPhone 6s/ 6s Plus/ 6/ 6 Plus, iPad Pro/ Air 2/ mini 4 and so forth. Besides call history, it also can recover contacts, messages, notes, reminders, calendars and more file types. If you want to retrieve iPhone call history on Mac OS X(10.11, 10.10, 10.9), you can get iRefone for Mac.
Step 1: Connect your iPhone to your computer at first. Install and launch the full version of iRefone. After your iPhone being detected, hit the button of "Start". You have successfully chosen the recovery mode of "Recover from iOS Device".

Step 2: You will be presented with an interface of data types list from which you need to click to choose call history to recover by clicking on the icon of Call History.

Step 3: Take a preview and then recover the exported call history to your computer. If you just want the lost or deleted items back, please check "Only display the deleted items."

You only have the chance to restore everything in the iTunes backup file to your iPhone, or you restore nothing. There is no selectively restoring. What if we want to selectively restore some specific data from the backup? The method below is going to be pretty useful.
Step 1. Choose the recovery mode of "Recover from iTunes Backsup". Then a list of iTunes backup files available on your computer will be presented for your selection. Choose one from which you want to export call history items to your windows computer for record keeping as well as convenient reading.

Step 2. iRefone supports selectively exporting data of certain category and you can choose call history to exports selectively simply clicking on the icon of Call history.

Step 3. It will take some time for to scan and analyze the data on your iPhone, please wait for a while. Please a take a preview and choose whatever you want to export and transfer to your computer after all the call history items are exported from the iTunes backup file for your iPhone.

Same as iTunes, iCloud also doesn't allow you to preview or selective restore specific data from its backup. All you need to do is using a third-party tool that can help you extract the backup for selective recovery and restore. There is also such a way.
Step 1. Launch iRefone and then you will be presented with an interface allowing you choose the recovery mode. Click to choose Recover from iCloud Backup and sign in iCloud with an Apple ID.

Step 2. And then you will see a list of iCloud backup file, check the button of "Download" beside the backup file you would like to extract data from.

Step 3. Check the boxes to choose the file- call history you would like to download from iCloud. The downloading file may take quite a long time, please wait with patience.

Step 4. Once the downloading finishes, you can choose Call History to extract. Hit the bottom right button of "Recover to PC" to transfer the extracted Call history to computer.

Note: This professional iOS Data Recovery can also restore other lost file types like notes, contacts, voice memos, etc. Give it a try. But please try not to use your phone after deletion and always remember to back up your phone files. Have fun!