13966103265625 has 63 divisors (see below), whose sum is σ = 20312350174371. Its totient is φ = 9574514250000.

The previous prime is 13966103265623. The next prime is 13966103265661. The reversal of 13966103265625 is 52656230166931.

The square root of 13966103265625 is 3737125.

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

It can be written as a sum of positive squares in 3 ways, for example, as 12235647206601 + 1730456059024 = 3497949^2 + 1315468^2 .

It is not a de Polignac number, because 13966103265625 - 2¹ = 13966103265623 is a prime.

It is a super-2 number, since 2×13966103265625² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13966103265623) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 3269982240 + ... + 3269986510.

Almost surely, 2^{13966103265625} is an apocalyptic number.

13966103265625 is the 3737125-th square number.

13966103265625 is the 1868563-rd centered octagonal number.

It is an amenable number.

13966103265625 is a deficient number, since it is larger than the sum of its proper divisors (6346246908746).

13966103265625 is an frugal number, since it uses more digits than its factorization.

13966103265625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8586 (or 4283 counting only the distinct ones).

The product of its (nonzero) digits is 10497600, while the sum is 55.

The spelling of 13966103265625 in words is "thirteen trillion, nine hundred sixty-six billion, one hundred three million, two hundred sixty-five thousand, six hundred twenty-five".