114579968 has 40 divisors (see below), whose sum is σ = 236353920. Its totient is φ = 55434240.

The previous prime is 114579961. The next prime is 114579977. The reversal of 114579968 is 869975411.

It is not an unprimeable number, because it can be changed into a prime (114579961) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 12263 + ... + 19481.

It is an arithmetic number, because the mean of its divisors is an integer number (5908848).

Almost surely, 2^114579968 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 114579968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118176960).

114579968 is an abundant number, since it is smaller than the sum of its proper divisors (121773952).

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

114579968 is an frugal number, since it uses more digits than its factorization.

114579968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7268 (or 7252 counting only the distinct ones).

The product of its digits is 544320, while the sum is 50.

The square root of 114579968 is about 10704.2032865599. The cubic root of 114579968 is about 485.7016351294.

The spelling of 114579968 in words is "one hundred fourteen million, five hundred seventy-nine thousand, nine hundred sixty-eight".