114041664 has 168 divisors, whose sum is σ = 366125760. Its totient is φ = 33638400.

The previous prime is 114041651. The next prime is 114041671. The reversal of 114041664 is 466140411.

It is a super-2 number, since 2×114041664² = 26011002255777792, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 259557 + ... + 259995.

It is an arithmetic number, because the mean of its divisors is an integer number (2179320).

Almost surely, 2^114041664 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 114041664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183062880).

114041664 is an abundant number, since it is smaller than the sum of its proper divisors (252084096).

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

114041664 is a wasteful number, since it uses less digits than its factorization.

114041664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 509 (or 496 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 114041664 is about 10679.0291693580. The cubic root of 114041664 is about 484.9398217750.

The spelling of 114041664 in words is "one hundred fourteen million, forty-one thousand, six hundred sixty-four".