118116768 has 288 divisors, whose sum is σ = 421424640. Its totient is φ = 28062720.

The previous prime is 118116763. The next prime is 118116769. The reversal of 118116768 is 867611811.

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

It is not an unprimeable number, because it can be changed into a prime (118116763) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4072978 + ... + 4073006.

It is an arithmetic number, because the mean of its divisors is an integer number (1463280).

Almost surely, 2^118116768 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 118116768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210712320).

118116768 is an abundant number, since it is smaller than the sum of its proper divisors (303307872).

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

118116768 is a wasteful number, since it uses less digits than its factorization.

118116768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 71 counting only the distinct ones).

The product of its digits is 16128, while the sum is 39.

The square root of 118116768 is about 10868.1538450649. The cubic root of 118116768 is about 490.6485484147.

It can be divided in two parts, 118 and 116768, that added together give a triangular number (116886 = T₄₈₃).

The spelling of 118116768 in words is "one hundred eighteen million, one hundred sixteen thousand, seven hundred sixty-eight".