185734278961 has 81 divisors (see below), whose sum is σ = 247238038593. Its totient is φ = 139013360640.

The previous prime is 185734278931. The next prime is 185734278971. The reversal of 185734278961 is 169872437581.

The square root of 185734278961 is 430969.

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

185734278961 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 11047061025 + 174687217936 = 105105^2 + 417956^2 .

It is not a de Polignac number, because 185734278961 - 2⁵ = 185734278929 is a prime.

Its product of digits (20321280) is a multiple of the sum of its prime divisors (240).

It is a self number, because there is not a number n which added to its sum of digits gives 185734278961.

It is not an unprimeable number, because it can be changed into a prime (185734278911) 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 80 ways as a sum of consecutive naturals, for example, 962353681 + ... + 962353873.

Almost surely, 2^185734278961 is an apocalyptic number.

185734278961 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

185734278961 is the 430969-th square number.

185734278961 is the 215485-th centered octagonal number.

It is an amenable number.

185734278961 is a deficient number, since it is larger than the sum of its proper divisors (61503759632).

185734278961 is an equidigital number, since it uses as much as digits as its factorization.

185734278961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 480 (or 240 counting only the distinct ones).

The product of its digits is 20321280, while the sum is 61.

The spelling of 185734278961 in words is "one hundred eighty-five billion, seven hundred thirty-four million, two hundred seventy-eight thousand, nine hundred sixty-one".