181041168 has 240 divisors, whose sum is σ = 605322368. Its totient is φ = 45619200.

The previous prime is 181041149. The next prime is 181041181. The reversal of 181041168 is 861140181.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2479980 + ... + 2480052.

Almost surely, 2^181041168 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 181041168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302661184).

181041168 is an abundant number, since it is smaller than the sum of its proper divisors (424281200).

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

181041168 is a wasteful number, since it uses less digits than its factorization.

181041168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 30.

The square root of 181041168 is about 13455.1539567558. The cubic root of 181041168 is about 565.7081657186.

The spelling of 181041168 in words is "one hundred eighty-one million, forty-one thousand, one hundred sixty-eight".