82431003664 has 15 divisors (see below), whose sum is σ = 159712294717. Its totient is φ = 41214927616.

The previous prime is 82431003647. The next prime is 82431003671. The reversal of 82431003664 is 46630013428.

The square root of 82431003664 is 287108.

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

It can be written as a sum of positive squares in only one way, i.e., 56254352400 + 26176651264 = 237180^2 + 161792^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 1112544 + ... + 1184320.

Almost surely, 2^82431003664 is an apocalyptic number.

82431003664 is the 287108-th square number.

It is an amenable number.

82431003664 is a deficient number, since it is larger than the sum of its proper divisors (77281291053).

82431003664 is an frugal number, since it uses more digits than its factorization.

82431003664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143562 (or 71779 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 37.

The spelling of 82431003664 in words is "eighty-two billion, four hundred thirty-one million, three thousand, six hundred sixty-four".