18381168 has 100 divisors (see below), whose sum is σ = 57345288. Its totient is φ = 5650560.

The previous prime is 18381149. The next prime is 18381173. The reversal of 18381168 is 86118381.

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 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 19 ways as a sum of consecutive naturals, for example, 16303 + ... + 17393.

Almost surely, 2^18381168 is an apocalyptic number.

18381168 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18381168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28672644).

18381168 is an abundant number, since it is smaller than the sum of its proper divisors (38964120).

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

18381168 is a wasteful number, since it uses less digits than its factorization.

18381168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1124 (or 1109 counting only the distinct ones).

The product of its digits is 9216, while the sum is 36.

The square root of 18381168 is about 4287.3264396358. The cubic root of 18381168 is about 263.9111271100.

The spelling of 18381168 in words is "eighteen million, three hundred eighty-one thousand, one hundred sixty-eight".