186225045444 has 81 divisors (see below), whose sum is σ = 477930787789. Its totient is φ = 61140303840.

The previous prime is 186225045397. The next prime is 186225045481. The reversal of 186225045444 is 444540522681.

The square root of 186225045444 is 431538.

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

186225045444 is a `hidden beast` number, since 1 + 86 + 2 + 25 + 0 + 4 + 544 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 367488900 + 185857556544 = 19170^2 + 431112^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 186225045444.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 183834682 + ... + 183835694.

Almost surely, 2^186225045444 is an apocalyptic number.

186225045444 is the 431538-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 186225045444

186225045444 is an abundant number, since it is smaller than the sum of its proper divisors (291705742345).

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

186225045444 is an equidigital number, since it uses as much as digits as its factorization.

186225045444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2178 (or 1089 counting only the distinct ones).

The product of its (nonzero) digits is 1228800, while the sum is 45.

The spelling of 186225045444 in words is "one hundred eighty-six billion, two hundred twenty-five million, forty-five thousand, four hundred forty-four".