18242554225 has 81 divisors (see below), whose sum is σ = 28076568033. Its totient is φ = 11721480960.

The previous prime is 18242554207. The next prime is 18242554237. The reversal of 18242554225 is 52245524281.

It is a happy number.

The square root of 18242554225 is 135065.

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

It can be written as a sum of positive squares in 4 ways, for example, as 426711649 + 17815842576 = 20657^2 + 133476^2 .

It is not a de Polignac number, because 18242554225 - 2²⁵ = 18208999793 is a prime.

It is a Duffinian number.

Its product of digits (256000) is a multiple of the sum of its prime divisors (256).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 80363562 + ... + 80363788.

Almost surely, 2^18242554225 is an apocalyptic number.

18242554225 is the 135065-th square number.

18242554225 is the 67533-rd centered octagonal number.

It is an amenable number.

18242554225 is a deficient number, since it is larger than the sum of its proper divisors (9834013808).

18242554225 is an equidigital number, since it uses as much as digits as its factorization.

18242554225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 512 (or 256 counting only the distinct ones).

The product of its digits is 256000, while the sum is 40.

The spelling of 18242554225 in words is "eighteen billion, two hundred forty-two million, five hundred fifty-four thousand, two hundred twenty-five".