13956971225409 has 135 divisors (see below), whose sum is σ = 22293695850309. Its totient is φ = 8413851300480.

The previous prime is 13956971225387. The next prime is 13956971225453. The reversal of 13956971225409 is 90452217965931.

The square root of 13956971225409 is 3735903.

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

13956971225409 is a `hidden beast` number, since 1 + 3 + 9 + 5 + 69 + 7 + 1 + 22 + 540 + 9 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 4331589075009 + 9625382150400 = 2081247^2 + 3102480^2 .

It is a de Polignac number, because none of the positive numbers 2^k-13956971225409 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13956971225459) 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, 100409864862 + ... + 100409865000.

Almost surely, 2^{13956971225409} is an apocalyptic number.

13956971225409 is the 3735903-rd square number.

13956971225409 is the 1867952-nd centered octagonal number.

It is an amenable number.

13956971225409 is a deficient number, since it is larger than the sum of its proper divisors (8336724624900).

13956971225409 is an frugal number, since it uses more digits than its factorization.

13956971225409 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 414 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 36741600, while the sum is 63.

The spelling of 13956971225409 in words is "thirteen trillion, nine hundred fifty-six billion, nine hundred seventy-one million, two hundred twenty-five thousand, four hundred nine".