114382268 has 144 divisors (see below), whose sum is σ = 281534400. Its totient is φ = 40360320.

The previous prime is 114382231. The next prime is 114382309. The reversal of 114382268 is 862283411.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2158130 + ... + 2158182.

It is an arithmetic number, because the mean of its divisors is an integer number (1955100).

Almost surely, 2^114382268 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 114382268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140767200).

114382268 is an abundant number, since it is smaller than the sum of its proper divisors (167152132).

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

114382268 is a wasteful number, since it uses less digits than its factorization.

114382268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 86 counting only the distinct ones).

The product of its digits is 18432, while the sum is 35.

The square root of 114382268 is about 10694.9646095721. The cubic root of 114382268 is about 485.4221258483.

The spelling of 114382268 in words is "one hundred fourteen million, three hundred eighty-two thousand, two hundred sixty-eight".