82164926208 has 72 divisors (see below), whose sum is σ = 228186338688. Its totient is φ = 26197507072.

The previous prime is 82164926111. The next prime is 82164926227. The reversal of 82164926208 is 80262946128.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent 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 7 ways as a sum of consecutive naturals, for example, 2308110 + ... + 2343437.

It is an arithmetic number, because the mean of its divisors is an integer number (3169254704).

Almost surely, 2^82164926208 is an apocalyptic number.

It is an amenable number.

82164926208 is an abundant number, since it is smaller than the sum of its proper divisors (146021412480).

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

82164926208 is a wasteful number, since it uses less digits than its factorization.

82164926208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4651589 (or 4651575 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 48.

The spelling of 82164926208 in words is "eighty-two billion, one hundred sixty-four million, nine hundred twenty-six thousand, two hundred eight".