392081354896 has 405 divisors, whose sum is σ = 1034804430387. Its totient is φ = 143366509440.

The previous prime is 392081354893. The next prime is 392081354897. The reversal of 392081354896 is 698453180293.

The square root of 392081354896 is 626164.

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

It is a self number, because there is not a number n which added to its sum of digits gives 392081354896.

It is not an unprimeable number, because it can be changed into a prime (392081354893) by changing a digit.

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 80 ways as a sum of consecutive naturals, for example, 3664311675 + ... + 3664311781.

Almost surely, 2^392081354896 is an apocalyptic number.

392081354896 is the 626164-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 392081354896

392081354896 is an abundant number, since it is smaller than the sum of its proper divisors (642723075491).

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

392081354896 is a wasteful number, since it uses less digits than its factorization.

392081354896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 11197440, while the sum is 58.

The spelling of 392081354896 in words is "three hundred ninety-two billion, eighty-one million, three hundred fifty-four thousand, eight hundred ninety-six".