114834664 has 64 divisors (see below), whose sum is σ = 262886400. Its totient is φ = 45964800.

The previous prime is 114834617. The next prime is 114834697. The reversal of 114834664 is 466438411.

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49204 + ... + 51484.

It is an arithmetic number, because the mean of its divisors is an integer number (4107600).

Almost surely, 2^114834664 is an apocalyptic number.

114834664 is a gapful number since it is divisible by the number (14) 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 114834664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131443200).

114834664 is an abundant number, since it is smaller than the sum of its proper divisors (148051736).

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

114834664 is a wasteful number, since it uses less digits than its factorization.

114834664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2354 (or 2350 counting only the distinct ones).

The product of its digits is 55296, while the sum is 37.

The square root of 114834664 is about 10716.0936912664. The cubic root of 114834664 is about 486.0612521375.

The spelling of 114834664 in words is "one hundred fourteen million, eight hundred thirty-four thousand, six hundred sixty-four".