186313952881 has 45 divisors (see below), whose sum is σ = 227809164569. Its totient is φ = 152355460488.

The previous prime is 186313952863. The next prime is 186313952911. The reversal of 186313952881 is 188259313681.

The square root of 186313952881 is 431641.

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

186313952881 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 186313952881 - 2²¹ = 186311855729 is a prime.

It is a super-2 number, since 2×186313952881² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (186313952801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 486459216 + ... + 486459598.

Almost surely, 2^186313952881 is an apocalyptic number.

186313952881 is the 431641-st square number.

186313952881 is the 215821-st centered octagonal number.

It is an amenable number.

186313952881 is a deficient number, since it is larger than the sum of its proper divisors (41495211688).

186313952881 is an frugal number, since it uses more digits than its factorization.

186313952881 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 840 (or 413 counting only the distinct ones).

The product of its digits is 2488320, while the sum is 55.

The spelling of 186313952881 in words is "one hundred eighty-six billion, three hundred thirteen million, nine hundred fifty-two thousand, eight hundred eighty-one".