312323915904 has 512 divisors, whose sum is σ = 1121467576320. Its totient is φ = 74373120000.

The previous prime is 312323915873. The next prime is 312323915909. The reversal of 312323915904 is 409519323213.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (312323915909) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 58039294 + ... + 58044674.

It is an arithmetic number, because the mean of its divisors is an integer number (2190366360).

Almost surely, 2^312323915904 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 312323915904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (560733788160).

312323915904 is an abundant number, since it is smaller than the sum of its proper divisors (809143660416).

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

312323915904 is a wasteful number, since it uses less digits than its factorization.

312323915904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5580 (or 5568 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 42.

The spelling of 312323915904 in words is "three hundred twelve billion, three hundred twenty-three million, nine hundred fifteen thousand, nine hundred four".