114256116 has 96 divisors (see below), whose sum is σ = 337841280. Its totient is φ = 33080832.

The previous prime is 114256081. The next prime is 114256127. The reversal of 114256116 is 611652411.

114256116 is a `hidden beast` number, since 1 + 1 + 42 + 5 + 611 + 6 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 114256116.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21475 + ... + 26261.

It is an arithmetic number, because the mean of its divisors is an integer number (3519180).

Almost surely, 2^114256116 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 114256116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168920640).

114256116 is an abundant number, since it is smaller than the sum of its proper divisors (223585164).

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

114256116 is a wasteful number, since it uses less digits than its factorization.

114256116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4830 (or 4822 counting only the distinct ones).

The product of its digits is 1440, while the sum is 27.

The square root of 114256116 is about 10689.0652538003. The cubic root of 114256116 is about 485.2436031349.

The spelling of 114256116 in words is "one hundred fourteen million, two hundred fifty-six thousand, one hundred sixteen".