13873397539401 has 27 divisors (see below), whose sum is σ = 20121794675463. Its totient is φ = 9211036584960.

The previous prime is 13873397539363. The next prime is 13873397539433. The reversal of 13873397539401 is 10493579337831.

The square root of 13873397539401 is 3724701.

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

13873397539401 is a `hidden beast` number, since 1 + 3 + 8 + 7 + 3 + 3 + 97 + 539 + 4 + 0 + 1 = 666.

13873397539401 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 13658309361225 + 215088178176 = 3695715^2 + 463776^2 .

It is not a de Polignac number, because 13873397539401 - 2¹⁹ = 13873397015113 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13873397539471) 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, 2871742056 + ... + 2871746886.

Almost surely, 2^{13873397539401} is an apocalyptic number.

13873397539401 is the 3724701-st square number.

13873397539401 is the 1862351-st centered octagonal number.

It is an amenable number.

13873397539401 is a deficient number, since it is larger than the sum of its proper divisors (6248397136062).

13873397539401 is an frugal number, since it uses more digits than its factorization.

13873397539401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10182 (or 5091 counting only the distinct ones).

The product of its (nonzero) digits is 51438240, while the sum is 63.

The spelling of 13873397539401 in words is "thirteen trillion, eight hundred seventy-three billion, three hundred ninety-seven million, five hundred thirty-nine thousand, four hundred one".