I just had a last minute request that I have accepted however since it is a new guest somehow his payment hasn't been approved yet (he said his credit card called him since he is out of the US) and would like to call in and check the status as the reservation is for 3:00 p.m.
When you get an email confirming your SH status, they send you the superhost number for your country. Why not have a look for one of these emails and then you can store the number in your phone.
All the customer services numbers are also listed in the contact airbnb post at the top of the forum you are posting in.