13677536401 has 9 divisors (see below), whose sum is σ = 13819201851. Its totient is φ = 13537312152.

The previous prime is 13677536387. The next prime is 13677536417. The reversal of 13677536401 is 10463577631.

The square root of 13677536401 is 116951.

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., 13478049025 + 199487376 = 116095^2 + 14124^2 .

It is not a de Polignac number, because 13677536401 - 2⁷ = 13677536273 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13677534401) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 12513211 + ... + 12514303.

Almost surely, 2^13677536401 is an apocalyptic number.

13677536401 is the 116951-st square number.

13677536401 is the 58476-th centered octagonal number.

It is an amenable number.

13677536401 is a deficient number, since it is larger than the sum of its proper divisors (141665450).

13677536401 is an frugal number, since it uses more digits than its factorization.

13677536401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2400 (or 1200 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 43.

The spelling of 13677536401 in words is "thirteen billion, six hundred seventy-seven million, five hundred thirty-six thousand, four hundred one".