496519554964608 has 384 divisors, whose sum is σ = 1774287698227200. Its totient is φ = 130060905707520.

The previous prime is 496519554964607. The next prime is 496519554964687. The reversal of 496519554964608 is 806469455915694.

496519554964608 is a `hidden beast` number, since 4 + 9 + 6 + 5 + 1 + 9 + 5 + 549 + 6 + 4 + 60 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is not an unprimeable number, because it can be changed into a prime (496519554964607) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 47518866 + ... + 57018257.

It is an arithmetic number, because the mean of its divisors is an integer number (4620540880800).

Almost surely, 2^{496519554964608} is an apocalyptic number.

496519554964608 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

496519554964608 is an abundant number, since it is smaller than the sum of its proper divisors (1277768143262592).

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

496519554964608 is a wasteful number, since it uses less digits than its factorization.

496519554964608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104537200 (or 104537185 counting only the distinct ones).

The product of its (nonzero) digits is 10077696000, while the sum is 81.

The spelling of 496519554964608 in words is "four hundred ninety-six trillion, five hundred nineteen billion, five hundred fifty-four million, nine hundred sixty-four thousand, six hundred eight".