114979968 has 48 divisors (see below), whose sum is σ = 330870150. Its totient is φ = 38326272.

The previous prime is 114979957. The next prime is 114980003. The reversal of 114979968 is 869979411.

114979968 is a `hidden beast` number, since 1 + 1 + 497 + 99 + 68 = 666.

It can be written as a sum of positive squares in only one way, i.e., 109998144 + 4981824 = 10488^2 + 2232^2 .

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 48753 + ... + 51056.

Almost surely, 2^114979968 is an apocalyptic number.

114979968 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

114979968 is an abundant number, since it is smaller than the sum of its proper divisors (215890182).

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

114979968 is an equidigital number, since it uses as much as digits as its factorization.

114979968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99829 (or 99814 counting only the distinct ones).

The product of its digits is 979776, while the sum is 54.

The square root of 114979968 is about 10722.8712572706. The cubic root of 114979968 is about 486.2661753837.

The spelling of 114979968 in words is "one hundred fourteen million, nine hundred seventy-nine thousand, nine hundred sixty-eight".