114709968 has 60 divisors (see below), whose sum is σ = 322722400. Its totient is φ = 38035008.

The previous prime is 114709961. The next prime is 114709981. The reversal of 114709968 is 869907411.

It is a happy number.

It is a super-2 number, since 2×114709968² = 26316753517122048, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114709961) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 26655 + ... + 30657.

Almost surely, 2^114709968 is an apocalyptic number.

114709968 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 114709968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161361200).

114709968 is an abundant number, since it is smaller than the sum of its proper divisors (208012432).

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

114709968 is a wasteful number, since it uses less digits than its factorization.

114709968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4216 (or 4207 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 45.

The square root of 114709968 is about 10710.2739460763. The cubic root of 114709968 is about 485.8852546258.

The spelling of 114709968 in words is "one hundred fourteen million, seven hundred nine thousand, nine hundred sixty-eight".