14680016765401 has 27 divisors (see below), whose sum is σ = 16464776163069. Its totient is φ = 13082228900832.

The previous prime is 14680016765387. The next prime is 14680016765411. The reversal of 14680016765401 is 10456761008641.

The square root of 14680016765401 is 3831451.

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

It can be written as a sum of positive squares in 4 ways, for example, as 1882397720025 + 12797619045376 = 1372005^2 + 3577376^2 .

It is not a de Polignac number, because 14680016765401 - 2⁷ = 14680016765273 is a prime.

It is not an unprimeable number, because it can be changed into a prime (14680016765411) 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, 1444451946 + ... + 1444462108.

Almost surely, 2^{14680016765401} is an apocalyptic number.

14680016765401 is the 3831451-st square number.

14680016765401 is the 1915726-th centered octagonal number.

It is an amenable number.

14680016765401 is a deficient number, since it is larger than the sum of its proper divisors (1784759397668).

14680016765401 is an frugal number, since it uses more digits than its factorization.

14680016765401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20410 (or 10205 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 49.

Multiplying 14680016765401 by its sum of digits (49), we get a square (719320821504649 = 26820157²).

The spelling of 14680016765401 in words is "fourteen trillion, six hundred eighty billion, sixteen million, seven hundred sixty-five thousand, four hundred one".