31374933007264 has 192 divisors, whose sum is σ = 79045018214400. Its totient is φ = 11903785850880.

The previous prime is 31374933007259. The next prime is 31374933007277. The reversal of 31374933007264 is 46270033947313.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22365084 + ... + 23726500.

It is an arithmetic number, because the mean of its divisors is an integer number (411692803200).

Almost surely, 2^{31374933007264} 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 31374933007264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39522509107200).

31374933007264 is an abundant number, since it is smaller than the sum of its proper divisors (47670085207136).

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

31374933007264 is a wasteful number, since it uses less digits than its factorization.

31374933007264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1361691 (or 1361683 counting only the distinct ones).

The product of its (nonzero) digits is 6858432, while the sum is 52.

The spelling of 31374933007264 in words is "thirty-one trillion, three hundred seventy-four billion, nine hundred thirty-three million, seven thousand, two hundred sixty-four".