12638174952 has 128 divisors (see below), whose sum is σ = 37001664000. Its totient is φ = 3560951808.

The previous prime is 12638174921. The next prime is 12638174971. The reversal of 12638174952 is 25947183621.

It is a super-2 number, since 2×12638174952² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 164049 + ... + 228447.

It is an arithmetic number, because the mean of its divisors is an integer number (289075500).

Almost surely, 2^12638174952 is an apocalyptic number.

12638174952 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12638174952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18500832000).

12638174952 is an abundant number, since it is smaller than the sum of its proper divisors (24363489048).

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

12638174952 is a wasteful number, since it uses less digits than its factorization.

12638174952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64475 (or 64471 counting only the distinct ones).

The product of its digits is 725760, while the sum is 48.

The spelling of 12638174952 in words is "twelve billion, six hundred thirty-eight million, one hundred seventy-four thousand, nine hundred fifty-two".