181145574544 has 135 divisors (see below), whose sum is σ = 410525530891. Its totient is φ = 77359237120.

The previous prime is 181145574523. The next prime is 181145574593. The reversal of 181145574544 is 445475541181.

The square root of 181145574544 is 425612.

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

181145574544 is digitally balanced in base 3, 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 935136400 + 180210438144 = 30580^2 + 424512^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 318357492 + ... + 318358060.

Almost surely, 2^181145574544 is an apocalyptic number.

181145574544 is the 425612-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 181145574544

181145574544 is an abundant number, since it is smaller than the sum of its proper divisors (229379956347).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

181145574544 is an equidigital number, since it uses as much as digits as its factorization.

181145574544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1202 (or 599 counting only the distinct ones).

The product of its digits is 1792000, while the sum is 49.

Multiplying 181145574544 by its sum of digits (49), we get a square (8876133152656 = 2979284²).

The spelling of 181145574544 in words is "one hundred eighty-one billion, one hundred forty-five million, five hundred seventy-four thousand, five hundred forty-four".