14564412832225 has 9 divisors (see below), whose sum is σ = 18059895573267. Its totient is φ = 11651515000440.

The previous prime is 14564412832199. The next prime is 14564412832237. The reversal of 14564412832225 is 52223821446541.

The square root of 14564412832225 is 3816335.

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

It can be written as a sum of positive squares in only one way, i.e., 5243188619601 + 9321224212624 = 2289801^2 + 3053068^2 .

It is a de Polignac number, because none of the positive numbers 2^k-14564412832225 is a prime.

It is a super-2 number, since 2×14564412832225² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 18700042 + ... + 19463308.

Almost surely, 2^{14564412832225} is an apocalyptic number.

14564412832225 is the 3816335-th square number.

14564412832225 is the 1908168-th centered octagonal number.

It is an amenable number.

14564412832225 is a deficient number, since it is larger than the sum of its proper divisors (3495482741042).

14564412832225 is an frugal number, since it uses more digits than its factorization.

14564412832225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1526544 (or 763272 counting only the distinct ones).

The product of its digits is 3686400, while the sum is 49.

Multiplying 14564412832225 by its sum of digits (49), we get a square (713656228779025 = 26714345²).

The spelling of 14564412832225 in words is "fourteen trillion, five hundred sixty-four billion, four hundred twelve million, eight hundred thirty-two thousand, two hundred twenty-five".