31668102594072 has 192 divisors, whose sum is σ = 98807794974720. Its totient is φ = 8975361717504.

The previous prime is 31668102594059. The next prime is 31668102594109. The reversal of 31668102594072 is 27049520186613.

It is a happy number.

31668102594072 is a `hidden beast` number, since 31 + 6 + 6 + 8 + 10 + 2 + 594 + 0 + 7 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 442707573 + ... + 442779099.

It is an arithmetic number, because the mean of its divisors is an integer number (514623932160).

It is a 1-persistent number, because it is pandigital, but 2⋅31668102594072 = 63336205188144 is not.

Almost surely, 2^{31668102594072} 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 31668102594072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49403897487360).

31668102594072 is an abundant number, since it is smaller than the sum of its proper divisors (67139692380648).

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

31668102594072 is a wasteful number, since it uses less digits than its factorization.

31668102594072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78590 (or 78583 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 31668102594072 in words is "thirty-one trillion, six hundred sixty-eight billion, one hundred two million, five hundred ninety-four thousand, seventy-two".