You may find yourself in a situation where your iPhone app updates number won’t reset or clear. This can happen after restoring a phone using iTunes. It could happen if you’ve updated the apps in iTunes and synchronized your phone, but the App Store on the phone doesn’t acknowledge that the apps have updated.
There will be a notification on the iPhone App Store icon indicating a certain number of updates are pending, but when you check they have already been updated. Restarting the phone won’t fix the problem.
At some point, additional apps on the iPhone will have updates available. At that time, the App Store will recalculate the number of available apps and display the correct number.