114451968 has 80 divisors (see below), whose sum is σ = 307145520. Its totient is φ = 37871616.

The previous prime is 114451957. The next prime is 114451999. The reversal of 114451968 is 869154411.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 413046 + ... + 413322.

It is an arithmetic number, because the mean of its divisors is an integer number (3839319).

Almost surely, 2^114451968 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 114451968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153572760).

114451968 is an abundant number, since it is smaller than the sum of its proper divisors (192693552).

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

114451968 is an equidigital number, since it uses as much as digits as its factorization.

114451968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 567 (or 551 counting only the distinct ones).

The product of its digits is 34560, while the sum is 39.

The square root of 114451968 is about 10698.2226561238. Note that the first 3 decimals coincide. The cubic root of 114451968 is about 485.5207047998.

The spelling of 114451968 in words is "one hundred fourteen million, four hundred fifty-one thousand, nine hundred sixty-eight".