18182250324225 has 405 divisors, whose sum is σ = 37673398687617. Its totient is φ = 8665125880320.

The previous prime is 18182250324197. The next prime is 18182250324241. The reversal of 18182250324225 is 52242305228181.

The square root of 18182250324225 is 4264065.

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

18182250324225 is a `hidden beast` number, since 1 + 8 + 1 + 82 + 2 + 503 + 2 + 42 + 25 = 666.

It can be written as a sum of positive squares in 40 ways, for example, as 12963693863169 + 5218556461056 = 3600513^2 + 2284416^2 .

It is a tau number, because it is divible by the number of its divisors (405).

It is not a de Polignac number, because 18182250324225 - 2⁷ = 18182250324097 is a prime.

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

It is an unprimeable number.

It is a polite number, since it can be written in 404 ways as a sum of consecutive naturals, for example, 92295686827 + ... + 92295687023.

Almost surely, 2^{18182250324225} is an apocalyptic number.

18182250324225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

18182250324225 is the 4264065-th square number.

18182250324225 is the 2132033-rd centered octagonal number.

It is an amenable number.

18182250324225 is an abundant number, since it is smaller than the sum of its proper divisors (19491148363392).

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

18182250324225 is an equidigital number, since it uses as much as digits as its factorization.

18182250324225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 516 (or 255 counting only the distinct ones).

The product of its (nonzero) digits is 614400, while the sum is 45.

The spelling of 18182250324225 in words is "eighteen trillion, one hundred eighty-two billion, two hundred fifty million, three hundred twenty-four thousand, two hundred twenty-five".