312131564421160 has 192 divisors, whose sum is σ = 772806756960000. Its totient is φ = 113375767464960.

The previous prime is 312131564421013. The next prime is 312131564421169. The reversal of 312131564421160 is 61124465131213.

It is a super-2 number, since 2×312131564421160² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (312131564421169) 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 47 ways as a sum of consecutive naturals, for example, 34685134341 + ... + 34685143339.

It is an arithmetic number, because the mean of its divisors is an integer number (4025035192500).

Almost surely, 2^{312131564421160} 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 312131564421160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (386403378480000).

312131564421160 is an abundant number, since it is smaller than the sum of its proper divisors (460675192538840).

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

312131564421160 is a wasteful number, since it uses less digits than its factorization.

312131564421160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16232 (or 16217 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 40.

The spelling of 312131564421160 in words is "three hundred twelve trillion, one hundred thirty-one billion, five hundred sixty-four million, four hundred twenty-one thousand, one hundred sixty".