82638093312 has 66 divisors (see below), whose sum is σ = 238615727688. Its totient is φ = 27546028032.

The previous prime is 82638093283. The next prime is 82638093319. The reversal of 82638093312 is 21339083628.

82638093312 is a `hidden beast` number, since 8 + 2 + 638 + 0 + 9 + 3 + 3 + 1 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82638093319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4474188 + ... + 4492619.

Almost surely, 2^82638093312 is an apocalyptic number.

It is an amenable number.

82638093312 is an abundant number, since it is smaller than the sum of its proper divisors (155977634376).

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

82638093312 is a wasteful number, since it uses less digits than its factorization.

82638093312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8966833 (or 8966812 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 82638093312 in words is "eighty-two billion, six hundred thirty-eight million, ninety-three thousand, three hundred twelve".