31829997508864 has 81 divisors (see below), whose sum is σ = 66422516828619. Its totient is φ = 15222049328640.

The previous prime is 31829997508853. The next prime is 31829997508927. The reversal of 31829997508864 is 46880579992813.

The square root of 31829997508864 is 5641808.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2076177679 + ... + 2076193009.

It is a 1-persistent number, because it is pandigital, but 2⋅31829997508864 = 63659995017728 is not.

Almost surely, 2^{31829997508864} is an apocalyptic number.

31829997508864 is the 5641808-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31829997508864

31829997508864 is an abundant number, since it is smaller than the sum of its proper divisors (34592519319755).

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

31829997508864 is an frugal number, since it uses more digits than its factorization.

31829997508864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30724 (or 15356 counting only the distinct ones).

The product of its (nonzero) digits is 1881169920, while the sum is 79.

The spelling of 31829997508864 in words is "thirty-one trillion, eight hundred twenty-nine billion, nine hundred ninety-seven million, five hundred eight thousand, eight hundred sixty-four".