13918577639121 has 135 divisors (see below), whose sum is σ = 22146829075371. Its totient is φ = 8710640474976.

The previous prime is 13918577639089. The next prime is 13918577639137. The reversal of 13918577639121 is 12193677581931.

The square root of 13918577639121 is 3730761.

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

13918577639121 is a `hidden beast` number, since 1 + 3 + 9 + 1 + 8 + 577 + 6 + 39 + 1 + 21 = 666.

13918577639121 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., 915774355521 + 13002803283600 = 956961^2 + 3605940^2 .

It is not a de Polignac number, because 13918577639121 - 2⁵ = 13918577639089 is a prime.

It is a super-2 number, since 2×13918577639121² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13918577639171) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 51741924175 + ... + 51741924443.

Almost surely, 2^{13918577639121} is an apocalyptic number.

13918577639121 is the 3730761-st square number.

13918577639121 is the 1865381-st centered octagonal number.

It is an amenable number.

13918577639121 is a deficient number, since it is larger than the sum of its proper divisors (8228251436250).

13918577639121 is an frugal number, since it uses more digits than its factorization.

13918577639121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 730 (or 362 counting only the distinct ones).

The product of its digits is 17146080, while the sum is 63.

The spelling of 13918577639121 in words is "thirteen trillion, nine hundred eighteen billion, five hundred seventy-seven million, six hundred thirty-nine thousand, one hundred twenty-one".