188122580361 has 9 divisors (see below), whose sum is σ = 271734495591. Its totient is φ = 125414186112.

The previous prime is 188122580311. The next prime is 188122580383. The reversal of 188122580361 is 163085221881.

The square root of 188122580361 is 433731.

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

188122580361 is a `hidden beast` number, since 1 + 8 + 8 + 1 + 2 + 2 + 580 + 3 + 61 = 666.

It can be written as a sum of positive squares in only one way, i.e., 38465015625 + 149657564736 = 196125^2 + 386856^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 188122580361 - 2¹⁵ = 188122547593 is a prime.

It is not an unprimeable number, because it can be changed into a prime (188122580311) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1228905 + ... + 1373481.

Almost surely, 2^188122580361 is an apocalyptic number.

188122580361 is the 433731-st square number.

188122580361 is the 216866-th centered octagonal number.

It is an amenable number.

188122580361 is a deficient number, since it is larger than the sum of its proper divisors (83611915230).

188122580361 is an frugal number, since it uses more digits than its factorization.

188122580361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289160 (or 144580 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 45.

The spelling of 188122580361 in words is "one hundred eighty-eight billion, one hundred twenty-two million, five hundred eighty thousand, three hundred sixty-one".