18045892225 has 27 divisors (see below), whose sum is σ = 22772664201. Its totient is φ = 14185776000.

The previous prime is 18045892223. The next prime is 18045892237. The reversal of 18045892225 is 52229854081.

The square root of 18045892225 is 134335.

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 4827331441 + 13218560784 = 69479^2 + 114972^2 .

It is not a de Polignac number, because 18045892225 - 2¹ = 18045892223 is a prime.

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (18045892223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 45002025 + ... + 45002425.

Almost surely, 2^18045892225 is an apocalyptic number.

18045892225 is the 134335-th square number.

18045892225 is the 67168-th centered octagonal number.

It is an amenable number.

18045892225 is a deficient number, since it is larger than the sum of its proper divisors (4726771976).

18045892225 is an frugal number, since it uses more digits than its factorization.

18045892225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 946 (or 473 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 46.

The spelling of 18045892225 in words is "eighteen billion, forty-five million, eight hundred ninety-two thousand, two hundred twenty-five".