21914361225 has 81 divisors (see below), whose sum is σ = 40100149479. Its totient is φ = 11440144800.

The previous prime is 21914361197. The next prime is 21914361247. The reversal of 21914361225 is 52216341912.

The square root of 21914361225 is 148035.

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

21914361225 is a `hidden beast` number, since 2 + 1 + 9 + 14 + 3 + 612 + 25 = 666.

It can be written as a sum of positive squares in only one way, i.e., 7889170041 + 14025191184 = 88821^2 + 118428^2 .

It is not a de Polignac number, because 21914361225 - 2⁵ = 21914361193 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 21914361225.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 157657206 + ... + 157657344.

Almost surely, 2^21914361225 is an apocalyptic number.

21914361225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

21914361225 is the 148035-th square number.

21914361225 is the 74018-th centered octagonal number.

It is an amenable number.

21914361225 is a deficient number, since it is larger than the sum of its proper divisors (18185788254).

21914361225 is an equidigital number, since it uses as much as digits as its factorization.

21914361225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 436 (or 218 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

Multiplying 21914361225 by its sum of digits (36), we get a square (788917004100 = 888210²).

The spelling of 21914361225 in words is "twenty-one billion, nine hundred fourteen million, three hundred sixty-one thousand, two hundred twenty-five".