185346609361 has 9 divisors (see below), whose sum is σ = 188932957339. Its totient is φ = 181827116536.

The previous prime is 185346609323. The next prime is 185346609391. The reversal of 185346609361 is 163906643581.

The square root of 185346609361 is 430519.

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

It can be written as a sum of positive squares in only one way, i.e., 133615836225 + 51730773136 = 365535^2 + 227444^2 .

It is not a de Polignac number, because 185346609361 - 2¹⁵ = 185346576593 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 185346609299 and 185346609308.

It is not an unprimeable number, because it can be changed into a prime (185346609391) 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 8 ways as a sum of consecutive naturals, for example, 22813446 + ... + 22821568.

Almost surely, 2^185346609361 is an apocalyptic number.

185346609361 is the 430519-th square number.

185346609361 is the 215260-th centered octagonal number.

It is an amenable number.

185346609361 is a deficient number, since it is larger than the sum of its proper divisors (3586347978).

185346609361 is an frugal number, since it uses more digits than its factorization.

185346609361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16352 (or 8176 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 52.

The spelling of 185346609361 in words is "one hundred eighty-five billion, three hundred forty-six million, six hundred nine thousand, three hundred sixty-one".