31325006834688 has 1408 divisors, whose sum is σ = 108162405734400. Its totient is φ = 7854568243200.

The previous prime is 31325006834623. The next prime is 31325006834699. The reversal of 31325006834688 is 88643860052313.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 38154697318 + ... + 38154698138.

Almost surely, 2^{31325006834688} 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 31325006834688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54081202867200).

31325006834688 is an abundant number, since it is smaller than the sum of its proper divisors (76837398899712).

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

31325006834688 is a wasteful number, since it uses less digits than its factorization.

31325006834688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1017 (or 999 counting only the distinct ones).

The product of its (nonzero) digits is 19906560, while the sum is 57.

The spelling of 31325006834688 in words is "thirty-one trillion, three hundred twenty-five billion, six million, eight hundred thirty-four thousand, six hundred eighty-eight".