486807616656 has 75 divisors (see below), whose sum is σ = 1409035178793. Its totient is φ = 162260832960.

The previous prime is 486807616643. The next prime is 486807616741. The reversal of 486807616656 is 656616708684.

The square root of 486807616656 is 697716.

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

486807616656 is a `hidden beast` number, since 4 + 8 + 6 + 8 + 0 + 7 + 616 + 6 + 5 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 377590586256 + 109217030400 = 614484^2 + 330480^2 .

It is a junction number, because it is equal to n+sod(n) for n = 486807616593 and 486807616602.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 25108086 + ... + 25127466.

Almost surely, 2^486807616656 is an apocalyptic number.

486807616656 is the 697716-th square number.

It is an amenable number.

486807616656 is an abundant number, since it is smaller than the sum of its proper divisors (922227562137).

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

486807616656 is an frugal number, since it uses more digits than its factorization.

486807616656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38782 (or 19386 counting only the distinct ones).

The product of its (nonzero) digits is 69672960, while the sum is 63.

The spelling of 486807616656 in words is "four hundred eighty-six billion, eight hundred seven million, six hundred sixteen thousand, six hundred fifty-six".