118119168 has 144 divisors (see below), whose sum is σ = 364976640. Its totient is φ = 37610496.

The previous prime is 118119149. The next prime is 118119173. The reversal of 118119168 is 861911811.

It is a tau number, because it is divible by the number of its divisors (144).

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 and also a Zuckerman number because it is divisible by the product of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 158605 + ... + 159347.

It is an arithmetic number, because the mean of its divisors is an integer number (2534560).

Almost surely, 2^118119168 is an apocalyptic number.

118119168 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 118119168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182488320).

118119168 is an abundant number, since it is smaller than the sum of its proper divisors (246857472).

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

118119168 is an equidigital number, since it uses as much as digits as its factorization.

118119168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 791 (or 771 counting only the distinct ones).

The product of its digits is 3456, while the sum is 36.

The square root of 118119168 is about 10868.2642588410. The cubic root of 118119168 is about 490.6518715346.

The spelling of 118119168 in words is "one hundred eighteen million, one hundred nineteen thousand, one hundred sixty-eight".