312725304144 has 120 divisors (see below), whose sum is σ = 990121440672. Its totient is φ = 94765230720.

The previous prime is 312725304107. The next prime is 312725304149. The reversal of 312725304144 is 441403527213.

312725304144 is a `hidden beast` number, since 3 + 12 + 72 + 530 + 4 + 1 + 44 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 312725304099 and 312725304108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312725304149) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 3613299 + ... + 3698834.

Almost surely, 2^312725304144 is an apocalyptic number.

It is an amenable number.

312725304144 is an abundant number, since it is smaller than the sum of its proper divisors (677396136528).

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

312725304144 is a wasteful number, since it uses less digits than its factorization.

312725304144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7312167 (or 7312149 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The spelling of 312725304144 in words is "three hundred twelve billion, seven hundred twenty-five million, three hundred four thousand, one hundred forty-four".