312163492032 has 896 divisors, whose sum is σ = 1114381312000. Its totient is φ = 84894511104.

The previous prime is 312163492013. The next prime is 312163492061. The reversal of 312163492032 is 230294361213.

312163492032 is a `hidden beast` number, since 3 + 1 + 2 + 163 + 492 + 0 + 3 + 2 = 666.

It is a super-2 number, since 2×312163492032² (a number of 24 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2863885194 + ... + 2863885302.

Almost surely, 2^312163492032 is an apocalyptic number.

312163492032 is a gapful number since it is divisible by the number (32) 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 312163492032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (557190656000).

312163492032 is an abundant number, since it is smaller than the sum of its proper divisors (802217819968).

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

312163492032 is an equidigital number, since it uses as much as digits as its factorization.

312163492032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The spelling of 312163492032 in words is "three hundred twelve billion, one hundred sixty-three million, four hundred ninety-two thousand, thirty-two".