18546354225 has 81 divisors (see below), whose sum is σ = 38671839297. Its totient is φ = 8471796480.

The previous prime is 18546354163. The next prime is 18546354241. The reversal of 18546354225 is 52245364581.

The square root of 18546354225 is 136185.

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

18546354225 is a `hidden beast` number, since 1 + 8 + 5 + 4 + 635 + 4 + 2 + 2 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 5705838369 + 12840515856 = 75537^2 + 113316^2 .

It is not a de Polignac number, because 18546354225 - 2⁹ = 18546353713 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

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, 14298777 + ... + 14300073.

Almost surely, 2^18546354225 is an apocalyptic number.

18546354225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

18546354225 is the 136185-th square number.

18546354225 is the 68093-rd centered octagonal number.

It is an amenable number.

18546354225 is an abundant number, since it is smaller than the sum of its proper divisors (20125485072).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

18546354225 is an equidigital number, since it uses as much as digits as its factorization.

18546354225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2624 (or 1312 counting only the distinct ones).

The product of its digits is 1152000, while the sum is 45.

The spelling of 18546354225 in words is "eighteen billion, five hundred forty-six million, three hundred fifty-four thousand, two hundred twenty-five".