114225664 has 120 divisors (see below), whose sum is σ = 276394140. Its totient is φ = 46964736.

The previous prime is 114225649. The next prime is 114225667. The reversal of 114225664 is 466522411.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 113209600 + 1016064 = 10640^2 + 1008^2 .

It is not an unprimeable number, because it can be changed into a prime (114225667) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 727474 + ... + 727630.

Almost surely, 2^114225664 is an apocalyptic number.

114225664 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 114225664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138197070).

114225664 is an abundant number, since it is smaller than the sum of its proper divisors (162168476).

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

114225664 is an equidigital number, since it uses as much as digits as its factorization.

114225664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 195 counting only the distinct ones).

The product of its digits is 11520, while the sum is 31.

The square root of 114225664 is about 10687.6407125240. The cubic root of 114225664 is about 485.2004896116.

The spelling of 114225664 in words is "one hundred fourteen million, two hundred twenty-five thousand, six hundred sixty-four".