16807605685264 has 45 divisors (see below), whose sum is σ = 32869731634173. Its totient is φ = 8325818197056.

The previous prime is 16807605685237. The next prime is 16807605685301. The reversal of 16807605685264 is 46258650670861.

It is a happy number.

The square root of 16807605685264 is 4099708.

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

It can be written as a sum of positive squares in only one way, i.e., 11714820526864 + 5092785158400 = 3422692^2 + 2256720^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 16807605685196 and 16807605685205.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1787467987 + ... + 1787477389.

Almost surely, 2^{16807605685264} is an apocalyptic number.

16807605685264 is the 4099708-th square number.

It is an amenable number.

16807605685264 is a deficient number, since it is larger than the sum of its proper divisors (16062125948909).

16807605685264 is an frugal number, since it uses more digits than its factorization.

16807605685264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19032 (or 9514 counting only the distinct ones).

The product of its (nonzero) digits is 116121600, while the sum is 64.

The spelling of 16807605685264 in words is "sixteen trillion, eight hundred seven billion, six hundred five million, six hundred eighty-five thousand, two hundred sixty-four".