13657185886969 has 27 divisors (see below), whose sum is σ = 14197464427341. Its totient is φ = 13137282997440.

The previous prime is 13657185886943. The next prime is 13657185887011. The reversal of 13657185886969 is 96968858175631.

The square root of 13657185886969 is 3695563.

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 958368555369 + 12698817331600 = 978963^2 + 3563540^2 .

It is not a de Polignac number, because 13657185886969 - 2²⁹ = 13656649016057 is a prime.

It is a super-2 number, since 2×13657185886969² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13657185886892 and 13657185886901.

It is not an unprimeable number, because it can be changed into a prime (13657185886769) 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, 10595178477 + ... + 10595179765.

Almost surely, 2^{13657185886969} is an apocalyptic number.

13657185886969 is the 3695563-rd square number.

13657185886969 is the 1847782-nd centered octagonal number.

It is an amenable number.

13657185886969 is a deficient number, since it is larger than the sum of its proper divisors (540278540372).

13657185886969 is an frugal number, since it uses more digits than its factorization.

13657185886969 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2794 (or 1397 counting only the distinct ones).

The product of its digits is 4702924800, while the sum is 82.

The spelling of 13657185886969 in words is "thirteen trillion, six hundred fifty-seven billion, one hundred eighty-five million, eight hundred eighty-six thousand, nine hundred sixty-nine".