312005956608 has 66 divisors (see below), whose sum is σ = 900910455354. Its totient is φ = 104001982464.

The previous prime is 312005956607. The next prime is 312005956609. The reversal of 312005956608 is 806659500213.

312005956608 is a `hidden beast` number, since 31 + 2 + 0 + 0 + 5 + 9 + 5 + 6 + 608 = 666.

It is an interprime number because it is at equal distance from previous prime (312005956607) and next prime (312005956609).

It can be written as a sum of positive squares in only one way, i.e., 301216564224 + 10789392384 = 548832^2 + 103872^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312005956607) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 16918191 + ... + 16936622.

Almost surely, 2^312005956608 is an apocalyptic number.

It is an amenable number.

312005956608 is an abundant number, since it is smaller than the sum of its proper divisors (588904498746).

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

312005956608 is a wasteful number, since it uses less digits than its factorization.

312005956608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33854839 (or 33854818 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The spelling of 312005956608 in words is "three hundred twelve billion, five million, nine hundred fifty-six thousand, six hundred eight".