116112816 has 60 divisors (see below), whose sum is σ = 327348840. Its totient is φ = 38419200.

The previous prime is 116112797. The next prime is 116112817. The reversal of 116112816 is 618211611.

116112816 is a `hidden beast` number, since 11 + 611 + 28 + 16 = 666.

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 116112816.

It is not an unprimeable number, because it can be changed into a prime (116112817) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17116 + ... + 22916.

It is an arithmetic number, because the mean of its divisors is an integer number (5455814).

Almost surely, 2^116112816 is an apocalyptic number.

116112816 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 116112816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163674420).

116112816 is an abundant number, since it is smaller than the sum of its proper divisors (211236024).

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

116112816 is a wasteful number, since it uses less digits than its factorization.

116112816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5954 (or 5945 counting only the distinct ones).

The product of its digits is 576, while the sum is 27.

The square root of 116112816 is about 10775.5656928070. The cubic root of 116112816 is about 487.8579493384.

The spelling of 116112816 in words is "one hundred sixteen million, one hundred twelve thousand, eight hundred sixteen".