13639733626401 has 27 divisors (see below), whose sum is σ = 20793672925779. Its totient is φ = 8614435650912.

The previous prime is 13639733626399. The next prime is 13639733626411. The reversal of 13639733626401 is 10462633793631.

The square root of 13639733626401 is 3693201.

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

13639733626401 is a `hidden beast` number, since 1 + 3 + 6 + 3 + 9 + 7 + 3 + 3 + 626 + 4 + 0 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 12987554630625 + 652178995776 = 3603825^2 + 807576^2 .

It is not a de Polignac number, because 13639733626401 - 2¹ = 13639733626399 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (13639733626411) 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, 210480061 + ... + 210544853.

Almost surely, 2^{13639733626401} is an apocalyptic number.

13639733626401 is the 3693201-st square number.

13639733626401 is the 1846601-st centered octagonal number.

It is an amenable number.

13639733626401 is a deficient number, since it is larger than the sum of its proper divisors (7153939299378).

13639733626401 is an frugal number, since it uses more digits than its factorization.

13639733626401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129630 (or 64815 counting only the distinct ones).

The product of its (nonzero) digits is 8817984, while the sum is 54.

The spelling of 13639733626401 in words is "thirteen trillion, six hundred thirty-nine billion, seven hundred thirty-three million, six hundred twenty-six thousand, four hundred one".