185553316081 has 45 divisors (see below), whose sum is σ = 221684839691. Its totient is φ = 155300680752.

The previous prime is 185553316021. The next prime is 185553316097. The reversal of 185553316081 is 180613355581.

The square root of 185553316081 is 430759.

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., 21738848481 + 163814467600 = 147441^2 + 404740^2 .

It is not a de Polignac number, because 185553316081 - 2⁹ = 185553315569 is a prime.

It is a super-2 number, since 2×185553316081² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (185553316021) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1245324195 + ... + 1245324343.

Almost surely, 2^185553316081 is an apocalyptic number.

185553316081 is the 430759-th square number.

185553316081 is the 215380-th centered octagonal number.

It is an amenable number.

185553316081 is a deficient number, since it is larger than the sum of its proper divisors (36131523610).

185553316081 is an frugal number, since it uses more digits than its factorization.

185553316081 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 444 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 46.

The spelling of 185553316081 in words is "one hundred eighty-five billion, five hundred fifty-three million, three hundred sixteen thousand, eighty-one".