31264923894912 has 160 divisors (see below), whose sum is σ = 93307498299180. Its totient is φ = 10392117018624.

The previous prime is 31264923894907. The next prime is 31264923894961. The reversal of 31264923894912 is 21949832946213.

31264923894912 is a `hidden beast` number, since 3 + 1 + 2 + 6 + 49 + 23 + 89 + 491 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 31114708739136 + 150215155776 = 5578056^2 + 387576^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 31264923894912.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 611373 + ... + 7931180.

Almost surely, 2^{31264923894912} is an apocalyptic number.

31264923894912 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 31264923894912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46653749149590).

31264923894912 is an abundant number, since it is smaller than the sum of its proper divisors (62042574404268).

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

31264923894912 is an equidigital number, since it uses as much as digits as its factorization.

31264923894912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8542932 (or 8542911 counting only the distinct ones).

The product of its digits is 40310784, while the sum is 63.

The spelling of 31264923894912 in words is "thirty-one trillion, two hundred sixty-four billion, nine hundred twenty-three million, eight hundred ninety-four thousand, nine hundred twelve".