181441368 has 48 divisors (see below), whose sum is σ = 492523200. Its totient is φ = 60342720.

The previous prime is 181441361. The next prime is 181441369. The reversal of 181441368 is 863144181.

It is a happy number.

181441368 is a `hidden beast` number, since 181 + 4 + 413 + 68 = 666.

181441368 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×181441368² = 65841940043422848, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (181441361) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 31858 + ... + 37118.

It is an arithmetic number, because the mean of its divisors is an integer number (10260900).

Almost surely, 2^181441368 is an apocalyptic number.

181441368 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

181441368 is an abundant number, since it is smaller than the sum of its proper divisors (311081832).

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

181441368 is a wasteful number, since it uses less digits than its factorization.

181441368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5752 (or 5745 counting only the distinct ones).

The product of its digits is 18432, while the sum is 36.

The square root of 181441368 is about 13470.0173719264. The cubic root of 181441368 is about 566.1247004310.

The spelling of 181441368 in words is "one hundred eighty-one million, four hundred forty-one thousand, three hundred sixty-eight".