114939968 has 112 divisors (see below), whose sum is σ = 282488640. Its totient is φ = 45619200.

The previous prime is 114939961. The next prime is 114939973. The reversal of 114939968 is 869939411.

It is a super-2 number, since 2×114939968² = 26422392487682048, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114939961) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 173558 + ... + 174218.

It is an arithmetic number, because the mean of its divisors is an integer number (2522220).

Almost surely, 2^114939968 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 114939968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141244320).

114939968 is an abundant number, since it is smaller than the sum of its proper divisors (167548672).

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

114939968 is a wasteful number, since it uses less digits than its factorization.

114939968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 716 (or 706 counting only the distinct ones).

The product of its digits is 419904, while the sum is 50.

The square root of 114939968 is about 10721.0059229533. The cubic root of 114939968 is about 486.2097803341.

The spelling of 114939968 in words is "one hundred fourteen million, nine hundred thirty-nine thousand, nine hundred sixty-eight".