31507744464 has 120 divisors (see below), whose sum is σ = 100919195520. Its totient is φ = 8989311744.

The previous prime is 31507744451. The next prime is 31507744507. The reversal of 31507744464 is 46444770513.

31507744464 is a `hidden beast` number, since 31 + 50 + 77 + 44 + 464 = 666.

It is a super-3 number, since 3×31507744464³ (a number of 32 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 692629 + ... + 736715.

It is an arithmetic number, because the mean of its divisors is an integer number (840993296).

Almost surely, 2^31507744464 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 31507744464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50459597760).

31507744464 is an abundant number, since it is smaller than the sum of its proper divisors (69411451056).

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

31507744464 is a wasteful number, since it uses less digits than its factorization.

31507744464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44817 (or 44808 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 45.

The spelling of 31507744464 in words is "thirty-one billion, five hundred seven million, seven hundred forty-four thousand, four hundred sixty-four".