31322620084128 has 384 divisors, whose sum is σ = 91129890668544. Its totient is φ = 9388414464000.

The previous prime is 31322620084109. The next prime is 31322620084177. The reversal of 31322620084128 is 82148002622313.

It is a super-2 number, since 2×31322620084128² (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 31322620084128.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 366359401 + ... + 366444887.

It is an arithmetic number, because the mean of its divisors is an integer number (237317423616).

Almost surely, 2^{31322620084128} 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 31322620084128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45564945334272).

31322620084128 is an abundant number, since it is smaller than the sum of its proper divisors (59807270584416).

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

31322620084128 is a wasteful number, since it uses less digits than its factorization.

31322620084128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85708 (or 85700 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 42.

The spelling of 31322620084128 in words is "thirty-one trillion, three hundred twenty-two billion, six hundred twenty million, eighty-four thousand, one hundred twenty-eight".