18679934676841 has 27 divisors (see below), whose sum is σ = 20057723532687. Its totient is φ = 17393227745280.

The previous prime is 18679934676811. The next prime is 18679934676847. The reversal of 18679934676841 is 14867643997681.

The square root of 18679934676841 is 4322029.

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

It can be written as a sum of positive squares in 13 ways, for example, as 657362586841 + 18022572090000 = 810779^2 + 4245300^2 .

It is not a de Polignac number, because 18679934676841 - 2⁹ = 18679934676329 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (18679934676847) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 7127024511 + ... + 7127027131.

Almost surely, 2^{18679934676841} is an apocalyptic number.

18679934676841 is the 4322029-th square number.

18679934676841 is the 2161015-th centered octagonal number.

It is an amenable number.

18679934676841 is a deficient number, since it is larger than the sum of its proper divisors (1377788855846).

18679934676841 is an frugal number, since it uses more digits than its factorization.

18679934676841 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5470 (or 2735 counting only the distinct ones).

The product of its digits is 2633637888, while the sum is 79.

The spelling of 18679934676841 in words is "eighteen trillion, six hundred seventy-nine billion, nine hundred thirty-four million, six hundred seventy-six thousand, eight hundred forty-one".