114879168 has 112 divisors (see below), whose sum is σ = 355600000. Its totient is φ = 36267264.

The previous prime is 114879131. The next prime is 114879169. The reversal of 114879168 is 861978411.

It is a happy number.

114879168 is a `hidden beast` number, since 1 + 1 + 487 + 9 + 168 = 666.

It is not an unprimeable number, because it can be changed into a prime (114879169) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31083 + ... + 34581.

It is an arithmetic number, because the mean of its divisors is an integer number (3175000).

Almost surely, 2^114879168 is an apocalyptic number.

114879168 is a gapful number since it is divisible by the number (18) 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 114879168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177800000).

114879168 is an abundant number, since it is smaller than the sum of its proper divisors (240720832).

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

114879168 is a wasteful number, since it uses less digits than its factorization.

114879168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3539 (or 3523 counting only the distinct ones).

The product of its digits is 96768, while the sum is 45.

The square root of 114879168 is about 10718.1699930539. The cubic root of 114879168 is about 486.1240347950.

The spelling of 114879168 in words is "one hundred fourteen million, eight hundred seventy-nine thousand, one hundred sixty-eight".