312107618944 has 64 divisors (see below), whose sum is σ = 679848523200. Its totient is φ = 141543659520.

The previous prime is 312107618897. The next prime is 312107618987. The reversal of 312107618944 is 449816701213.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×312107618944² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 312107618894 and 312107618903.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 365644 + ... + 870580.

It is an arithmetic number, because the mean of its divisors is an integer number (10622633175).

Almost surely, 2^312107618944 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 312107618944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339924261600).

312107618944 is an abundant number, since it is smaller than the sum of its proper divisors (367740904256).

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

312107618944 is a wasteful number, since it uses less digits than its factorization.

312107618944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 505401 (or 505389 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 46.

The spelling of 312107618944 in words is "three hundred twelve billion, one hundred seven million, six hundred eighteen thousand, nine hundred forty-four".