13765264964649 has 27 divisors (see below), whose sum is σ = 21855238582359. Its totient is φ = 8342510623920.

The previous prime is 13765264964531. The next prime is 13765264964723. The reversal of 13765264964649 is 94646946256731.

The square root of 13765264964649 is 3710157.

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

13765264964649 is a `hidden beast` number, since 1 + 3 + 7 + 6 + 52 + 6 + 496 + 46 + 49 = 666.

It can be written as a sum of positive squares in only one way, i.e., 10084162260249 + 3681102704400 = 3175557^2 + 1918620^2 .

It is not a de Polignac number, because 13765264964649 - 2³⁵ = 13730905226281 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13765264964149) by changing a digit.

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 26 ways as a sum of consecutive naturals, for example, 122378967 + ... + 122491395.

Almost surely, 2^{13765264964649} is an apocalyptic number.

13765264964649 is the 3710157-th square number.

13765264964649 is the 1855079-th centered octagonal number.

It is an amenable number.

13765264964649 is a deficient number, since it is larger than the sum of its proper divisors (8089973617710).

13765264964649 is an frugal number, since it uses more digits than its factorization.

13765264964649 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224886 (or 112443 counting only the distinct ones).

The product of its digits is 1410877440, while the sum is 72.

The spelling of 13765264964649 in words is "thirteen trillion, seven hundred sixty-five billion, two hundred sixty-four million, nine hundred sixty-four thousand, six hundred forty-nine".