114664164 has 48 divisors (see below), whose sum is σ = 290734080. Its totient is φ = 35039520.

The previous prime is 114664163. The next prime is 114664181. The reversal of 114664164 is 461466411.

114664164 = 497² + 498² + ... + 775².

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (114664163) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1044 + ... + 15179.

It is an arithmetic number, because the mean of its divisors is an integer number (6056960).

Almost surely, 2^114664164 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 114664164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145367040).

114664164 is an abundant number, since it is smaller than the sum of its proper divisors (176069916).

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

114664164 is a wasteful number, since it uses less digits than its factorization.

114664164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16280 (or 16278 counting only the distinct ones).

The product of its digits is 13824, while the sum is 33.

The square root of 114664164 is about 10708.1354119193. The cubic root of 114664164 is about 485.8205742512.

The spelling of 114664164 in words is "one hundred fourteen million, six hundred sixty-four thousand, one hundred sixty-four".