114956688 has 160 divisors (see below), whose sum is σ = 389975040. Its totient is φ = 28270080.

The previous prime is 114956671. The next prime is 114956729. The reversal of 114956688 is 886659411.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 69406 + ... + 71042.

It is an arithmetic number, because the mean of its divisors is an integer number (2437344).

Almost surely, 2^114956688 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 114956688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194987520).

114956688 is an abundant number, since it is smaller than the sum of its proper divisors (275018352).

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

114956688 is a wasteful number, since it uses less digits than its factorization.

114956688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1685 (or 1679 counting only the distinct ones).

The product of its digits is 414720, while the sum is 48.

The square root of 114956688 is about 10721.7856721723. The cubic root of 114956688 is about 486.2333550561.

The spelling of 114956688 in words is "one hundred fourteen million, nine hundred fifty-six thousand, six hundred eighty-eight".