114400116 has 36 divisors (see below), whose sum is σ = 289555812. Its totient is φ = 38083584.

The previous prime is 114400109. The next prime is 114400133. The reversal of 114400116 is 611004411.

It can be written as a sum of positive squares in 2 ways, for example, as 57699216 + 56700900 = 7596^2 + 7530^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 34900 + ... + 38036.

It is an arithmetic number, because the mean of its divisors is an integer number (8043217).

Almost surely, 2^114400116 is an apocalyptic number.

It is an amenable number.

114400116 is an abundant number, since it is smaller than the sum of its proper divisors (175155696).

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

114400116 is a wasteful number, since it uses less digits than its factorization.

114400116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4160 (or 4155 counting only the distinct ones).

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

The square root of 114400116 is about 10695.7989883879. The cubic root of 114400116 is about 485.4473726622.

Adding to 114400116 its reverse (611004411), we get a palindrome (725404527).

The spelling of 114400116 in words is "one hundred fourteen million, four hundred thousand, one hundred sixteen".