186049882225 has 27 divisors (see below), whose sum is σ = 232282390881. Its totient is φ = 147827131200.

The previous prime is 186049882219. The next prime is 186049882237. The reversal of 186049882225 is 522288940681.

The square root of 186049882225 is 431335.

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 264745441 + 185785136784 = 16271^2 + 431028^2 .

It is not a de Polignac number, because 186049882225 - 2²⁷ = 185915664497 is a prime.

It is a super-2 number, since 2×186049882225² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

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, 606025522 + ... + 606025828.

Almost surely, 2^186049882225 is an apocalyptic number.

186049882225 is the 431335-th square number.

186049882225 is the 215668-th centered octagonal number.

It is an amenable number.

186049882225 is a deficient number, since it is larger than the sum of its proper divisors (46232508656).

186049882225 is an frugal number, since it uses more digits than its factorization.

186049882225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1186 (or 593 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 55.

The spelling of 186049882225 in words is "one hundred eighty-six billion, forty-nine million, eight hundred eighty-two thousand, two hundred twenty-five".