14917894292161 has 9 divisors (see below), whose sum is σ = 17353500321249. Its totient is φ = 12786743361924.

The previous prime is 14917894292153. The next prime is 14917894292167. The reversal of 14917894292161 is 16129249871941.

The square root of 14917894292161 is 3862369.

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

It is not a de Polignac number, because 14917894292161 - 2³ = 14917894292153 is a prime.

It is a super-2 number, since 2×14917894292161² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 14917894292093 and 14917894292102.

It is not an unprimeable number, because it can be changed into a prime (14917894292167) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 26760700 + ... + 27312466.

It is an arithmetic number, because the mean of its divisors is an integer number (1928166702361).

Almost surely, 2^{14917894292161} is an apocalyptic number.

14917894292161 is the 3862369-th square number.

14917894292161 is the 1931185-th centered octagonal number.

It is an amenable number.

14917894292161 is a deficient number, since it is larger than the sum of its proper divisors (2435606029088).

14917894292161 is an frugal number, since it uses more digits than its factorization.

14917894292161 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1103548 (or 551774 counting only the distinct ones).

The product of its digits is 15676416, while the sum is 64.

Multiplying 14917894292161 by its sum of digits (64), we get a square (954745234698304 = 30898952²).

The spelling of 14917894292161 in words is "fourteen trillion, nine hundred seventeen billion, eight hundred ninety-four million, two hundred ninety-two thousand, one hundred sixty-one".