312131990693952 has 2016 divisors, whose sum is σ = 1157861998500480. Its totient is φ = 82069531361280.

The previous prime is 312131990693951. The next prime is 312131990693953. The reversal of 312131990693952 is 259396099131213.

312131990693952 is a `hidden beast` number, since 3 + 121 + 31 + 9 + 90 + 6 + 9 + 395 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (312131990693951) and next prime (312131990693953).

It is a super-2 number, since 2×312131990693952² (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 312131990693952.

It is not an unprimeable number, because it can be changed into a prime (312131990693951) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 156300445018 + ... + 156300447014.

It is an arithmetic number, because the mean of its divisors is an integer number (574336308780).

Almost surely, 2^{312131990693952} is an apocalyptic number.

312131990693952 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 312131990693952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (578930999250240).

312131990693952 is an abundant number, since it is smaller than the sum of its proper divisors (845730007806528).

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

312131990693952 is a wasteful number, since it uses less digits than its factorization.

312131990693952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2213 (or 2182 counting only the distinct ones).

The product of its (nonzero) digits is 21257640, while the sum is 63.

The spelling of 312131990693952 in words is "three hundred twelve trillion, one hundred thirty-one billion, nine hundred ninety million, six hundred ninety-three thousand, nine hundred fifty-two".