31531598412912 has 400 divisors, whose sum is σ = 100246795231968. Its totient is φ = 9509172111360.

The previous prime is 31531598412911. The next prime is 31531598412943. The reversal of 31531598412912 is 21921489513513.

31531598412912 is a `hidden beast` number, since 3 + 1 + 5 + 3 + 1 + 598 + 41 + 2 + 9 + 1 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31531598412911) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 290792818 + ... + 290901230.

Almost surely, 2^{31531598412912} 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 31531598412912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50123397615984).

31531598412912 is an abundant number, since it is smaller than the sum of its proper divisors (68715196819056).

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

31531598412912 is a wasteful number, since it uses less digits than its factorization.

31531598412912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108790 (or 108775 counting only the distinct ones).

The product of its digits is 2332800, while the sum is 54.

The spelling of 31531598412912 in words is "thirty-one trillion, five hundred thirty-one billion, five hundred ninety-eight million, four hundred twelve thousand, nine hundred twelve".