114164008 has 64 divisors (see below), whose sum is σ = 263894400. Its totient is φ = 45204480.

The previous prime is 114163999. The next prime is 114164021. The reversal of 114164008 is 800461411.

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, 42316 + ... + 44932.

It is an arithmetic number, because the mean of its divisors is an integer number (4123350).

Almost surely, 2^114164008 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 114164008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131947200).

114164008 is an abundant number, since it is smaller than the sum of its proper divisors (149730392).

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

114164008 is a wasteful number, since it uses less digits than its factorization.

114164008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2690 (or 2686 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 25.

The square root of 114164008 is about 10684.7558699298. The cubic root of 114164008 is about 485.1131744248.

The spelling of 114164008 in words is "one hundred fourteen million, one hundred sixty-four thousand, eight".