181034081361 has 27 divisors (see below), whose sum is σ = 304201531803. Its totient is φ = 103442940720.

The previous prime is 181034081329. The next prime is 181034081377. The reversal of 181034081361 is 163180430181.

The square root of 181034081361 is 425481.

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

181034081361 is a `hidden beast` number, since 18 + 103 + 408 + 136 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2155837761 + 178878243600 = 46431^2 + 422940^2 .

It is not a de Polignac number, because 181034081361 - 2⁵ = 181034081329 is a prime.

It is a super-2 number, since 2×181034081361² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (181034081381) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 8924971 + ... + 8945231.

Almost surely, 2^181034081361 is an apocalyptic number.

181034081361 is the 425481-st square number.

181034081361 is the 212741-st centered octagonal number.

It is an amenable number.

181034081361 is a deficient number, since it is larger than the sum of its proper divisors (123167450442).

181034081361 is an frugal number, since it uses more digits than its factorization.

181034081361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40542 (or 20271 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

Multiplying 181034081361 by its sum of digits (36), we get a square (6517226928996 = 2552886²).

The spelling of 181034081361 in words is "one hundred eighty-one billion, thirty-four million, eighty-one thousand, three hundred sixty-one".