186865133841 has 45 divisors (see below), whose sum is σ = 286042989771. Its totient is φ = 121570687728.

The previous prime is 186865133821. The next prime is 186865133843. The reversal of 186865133841 is 148331568681.

It is a happy number.

The square root of 186865133841 is 432279.

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

186865133841 is a `hidden beast` number, since 1 + 8 + 6 + 86 + 513 + 3 + 8 + 41 = 666.

It can be written as a sum of positive squares in only one way, i.e., 8270993025 + 178594140816 = 90945^2 + 422604^2 .

It is not a de Polignac number, because 186865133841 - 2⁵ = 186865133809 is a prime.

It is not an unprimeable number, because it can be changed into a prime (186865133843) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 167291415 + ... + 167292531.

Almost surely, 2^186865133841 is an apocalyptic number.

186865133841 is the 432279-th square number.

186865133841 is the 216140-th centered octagonal number.

It is an amenable number.

186865133841 is a deficient number, since it is larger than the sum of its proper divisors (99177855930).

186865133841 is an frugal number, since it uses more digits than its factorization.

186865133841 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2332 (or 1163 counting only the distinct ones).

The product of its digits is 3317760, while the sum is 54.

The spelling of 186865133841 in words is "one hundred eighty-six billion, eight hundred sixty-five million, one hundred thirty-three thousand, eight hundred forty-one".