We'll get used to it eventually, but it's gonna take a while. One of the biggest problems I see is address allocation. If we're not somewhat smart about how addresses are allocated, the vast majority of address space will be wasted (as is the case today already with IPv4).
Most of the time you'll be dealing with subnets, so you won't have to remember that much. But yes, there are more numbers available, so the number field will be larger. It's taking some getting used to for me. And don't forget multicast, ff02::1.
If we're not somewhat smart about how addresses are allocated, the vast majority of address space will be wasted
Every person in the world could get his own /64 subnet and we'd barely put a scratch in the address space. I don't think we're going to have a problem in the next few hundred years, unless we start getting injected with billions of nanomachines, each with their own IP address. Actually, even that doesn't come close to hitting 2^64.