114817664 has 32 divisors (see below), whose sum is σ = 246337140. Its totient is φ = 52992000.

The previous prime is 114817621. The next prime is 114817669. The reversal of 114817664 is 466718411.

It can be written as a sum of positive squares in 2 ways, for example, as 84787264 + 30030400 = 9208^2 + 5480^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (114817669) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 32837 + ... + 36164.

Almost surely, 2^114817664 is an apocalyptic number.

It is an amenable number.

114817664 is an abundant number, since it is smaller than the sum of its proper divisors (131519476).

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

114817664 is an equidigital number, since it uses as much as digits as its factorization.

114817664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69028 (or 69016 counting only the distinct ones).

The product of its digits is 32256, while the sum is 38.

The square root of 114817664 is about 10715.3004624229. The cubic root of 114817664 is about 486.0372656257.

The spelling of 114817664 in words is "one hundred fourteen million, eight hundred seventeen thousand, six hundred sixty-four".