31913134866432 has 240 divisors, whose sum is σ = 94705228060800. Its totient is φ = 10620760227840.

The previous prime is 31913134866427. The next prime is 31913134866449. The reversal of 31913134866432 is 23466843131913.

31913134866432 is a `hidden beast` number, since 3 + 1 + 9 + 13 + 134 + 8 + 66 + 432 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 279077044 + ... + 279191372.

It is an arithmetic number, because the mean of its divisors is an integer number (394605116920).

Almost surely, 2^{31913134866432} is an apocalyptic number.

31913134866432 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 31913134866432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47352614030400).

31913134866432 is an abundant number, since it is smaller than the sum of its proper divisors (62792093194368).

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

31913134866432 is an equidigital number, since it uses as much as digits as its factorization.

31913134866432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114997 (or 114965 counting only the distinct ones).

The product of its digits is 6718464, while the sum is 54.

The spelling of 31913134866432 in words is "thirty-one trillion, nine hundred thirteen billion, one hundred thirty-four million, eight hundred sixty-six thousand, four hundred thirty-two".