82394436816 has 80 divisors (see below), whose sum is σ = 237402126720. Its totient is φ = 27360345600.

The previous prime is 82394436793. The next prime is 82394436841. The reversal of 82394436816 is 61863449328.

82394436816 is a `hidden beast` number, since 8 + 239 + 44 + 368 + 1 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 248985 + ... + 476216.

It is an arithmetic number, because the mean of its divisors is an integer number (2967526584).

Almost surely, 2^82394436816 is an apocalyptic number.

It is an amenable number.

82394436816 is an abundant number, since it is smaller than the sum of its proper divisors (155007689904).

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

82394436816 is a wasteful number, since it uses less digits than its factorization.

82394436816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 725481 (or 725469 counting only the distinct ones).

The product of its digits is 5971968, while the sum is 54.

The spelling of 82394436816 in words is "eighty-two billion, three hundred ninety-four million, four hundred thirty-six thousand, eight hundred sixteen".