13791070058689 has 81 divisors (see below), whose sum is σ = 18738578955369. Its totient is φ = 10110588660480.

The previous prime is 13791070058681. The next prime is 13791070058693. The reversal of 13791070058689 is 98685007019731.

The square root of 13791070058689 is 3713633.

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

It can be written as a sum of positive squares in 4 ways, for example, as 1234394327089 + 12556675731600 = 1111033^2 + 3543540^2 .

It is not a de Polignac number, because 13791070058689 - 2³ = 13791070058681 is a prime.

It is a super-2 number, since 2×13791070058689² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 13791070058689.

It is not an unprimeable number, because it can be changed into a prime (13791070058681) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 4861144179 + ... + 4861147015.

Almost surely, 2^{13791070058689} is an apocalyptic number.

13791070058689 is the 3713633-rd square number.

13791070058689 is the 1856817-th centered octagonal number.

It is an amenable number.

13791070058689 is a deficient number, since it is larger than the sum of its proper divisors (4947508896680).

13791070058689 is an frugal number, since it uses more digits than its factorization.

13791070058689 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5744 (or 2872 counting only the distinct ones).

The product of its (nonzero) digits is 22861440, while the sum is 64.

Multiplying 13791070058689 by its sum of digits (64), we get a square (882628483756096 = 29709064²).

The spelling of 13791070058689 in words is "thirteen trillion, seven hundred ninety-one billion, seventy million, fifty-eight thousand, six hundred eighty-nine".