118114416 has 160 divisors (see below), whose sum is σ = 391641600. Its totient is φ = 33384960.

The previous prime is 118114387. The next prime is 118114417. The reversal of 118114416 is 614411811.

It is a Harshad number since it is a multiple of its sum of digits (27).

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

It is a self number, because there is not a number n which added to its sum of digits gives 118114416.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (118114417) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 420196 + ... + 420476.

It is an arithmetic number, because the mean of its divisors is an integer number (2447760).

Almost surely, 2^118114416 is an apocalyptic number.

118114416 is a gapful number since it is divisible by the number (16) 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 118114416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195820800).

118114416 is an abundant number, since it is smaller than the sum of its proper divisors (273527184).

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

118114416 is a wasteful number, since it uses less digits than its factorization.

118114416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 444 (or 432 counting only the distinct ones).

The product of its digits is 768, while the sum is 27.

The square root of 118114416 is about 10868.0456384761. The cubic root of 118114416 is about 490.6452917135.

The spelling of 118114416 in words is "one hundred eighteen million, one hundred fourteen thousand, four hundred sixteen".