116114400 has 108 divisors (see below), whose sum is σ = 409473792. Its totient is φ = 30961920.

The previous prime is 116114389. The next prime is 116114407. The reversal of 116114400 is 4411611.

116114400 is a `hidden beast` number, since 11 + 611 + 4 + 40 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116114407) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 864 + ... + 15263.

It is an arithmetic number, because the mean of its divisors is an integer number (3791424).

Almost surely, 2^116114400 is an apocalyptic number.

116114400 is a gapful number since it is divisible by the number (10) 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 116114400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204736896).

116114400 is an abundant number, since it is smaller than the sum of its proper divisors (293359392).

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

116114400 is a wasteful number, since it uses less digits than its factorization.

116114400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16153 (or 16137 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 116114400 is about 10775.6391921779. The cubic root of 116114400 is about 487.8601677655.

The spelling of 116114400 in words is "one hundred sixteen million, one hundred fourteen thousand, four hundred".