82315236564 has 144 divisors (see below), whose sum is σ = 232052760576. Its totient is φ = 24388795200.

The previous prime is 82315236539. The next prime is 82315236583. The reversal of 82315236564 is 46563251328.

82315236564 is a `hidden beast` number, since 8 + 2 + 3 + 1 + 52 + 36 + 564 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 28121269 + ... + 28124195.

It is an arithmetic number, because the mean of its divisors is an integer number (1611477504).

Almost surely, 2^82315236564 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 82315236564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116026380288).

82315236564 is an abundant number, since it is smaller than the sum of its proper divisors (149737524012).

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

82315236564 is a wasteful number, since it uses less digits than its factorization.

82315236564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4506 (or 4501 counting only the distinct ones).

The product of its digits is 1036800, while the sum is 45.

The spelling of 82315236564 in words is "eighty-two billion, three hundred fifteen million, two hundred thirty-six thousand, five hundred sixty-four".