189164974761 has 81 divisors (see below), whose sum is σ = 322314852951. Its totient is φ = 106596368928.

The previous prime is 189164974753. The next prime is 189164974813. The reversal of 189164974761 is 167479461981.

The square root of 189164974761 is 434931.

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

189164974761 is a `hidden beast` number, since 1 + 89 + 1 + 6 + 497 + 4 + 7 + 61 = 666.

It can be written as a sum of positive squares in only one way, i.e., 22161979161 + 167002995600 = 148869^2 + 408660^2 .

It is not a de Polignac number, because 189164974761 - 2³ = 189164974753 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (189164974721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 1269563515 + ... + 1269563663.

Almost surely, 2^189164974761 is an apocalyptic number.

189164974761 is the 434931-st square number.

189164974761 is the 217466-th centered octagonal number.

It is an amenable number.

189164974761 is a deficient number, since it is larger than the sum of its proper divisors (133149878190).

189164974761 is an equidigital number, since it uses as much as digits as its factorization.

189164974761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 596 (or 298 counting only the distinct ones).

The product of its digits is 18289152, while the sum is 63.

The spelling of 189164974761 in words is "one hundred eighty-nine billion, one hundred sixty-four million, nine hundred seventy-four thousand, seven hundred sixty-one".