186374892382561 has 7 divisors (see below), whose sum is σ = 187157980165681. Its totient is φ = 185595081117362.

The previous prime is 186374892382529. The next prime is 186374892382573. The reversal of 186374892382561 is 165283298473681.

The square root of 186374892382561 is 13651919.

The cubic root of 186374892382561 is 57121.

It is a perfect power (a square, a cube, a 6-th power), and thus also a powerful number.

It is not a de Polignac number, because 186374892382561 - 2⁵ = 186374892382529 is a prime.

It is a super-2 number, since 2×186374892382561² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (186374892382501) 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 6 ways as a sum of consecutive naturals, for example, 779811265080 + ... + 779811265318.

It is an arithmetic number, because the mean of its divisors is an integer number (26736854309383).

Almost surely, 2^{186374892382561} is an apocalyptic number.

186374892382561 is the 13651919-th square number.

186374892382561 is the 6825960-th centered octagonal number.

It is an amenable number.

186374892382561 is a deficient number, since it is larger than the sum of its proper divisors (783087783120).

186374892382561 is an frugal number, since it uses more digits than its factorization.

186374892382561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1434 (or 239 counting only the distinct ones).

The product of its digits is 836075520, while the sum is 73.

The spelling of 186374892382561 in words is "one hundred eighty-six trillion, three hundred seventy-four billion, eight hundred ninety-two million, three hundred eighty-two thousand, five hundred sixty-one".