12629126664 has 160 divisors (see below), whose sum is σ = 44101886400. Its totient is φ = 3280279680.

The previous prime is 12629126641. The next prime is 12629126717. The reversal of 12629126664 is 46662192621.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 76659 + ... + 176450.

It is an arithmetic number, because the mean of its divisors is an integer number (275636790).

Almost surely, 2^12629126664 is an apocalyptic number.

12629126664 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

12629126664 is an abundant number, since it is smaller than the sum of its proper divisors (31472759736).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12629126664 is a wasteful number, since it uses less digits than its factorization.

12629126664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253145 (or 253132 counting only the distinct ones).

The product of its digits is 373248, while the sum is 45.

The spelling of 12629126664 in words is "twelve billion, six hundred twenty-nine million, one hundred twenty-six thousand, six hundred sixty-four".