114256332 has 120 divisors (see below), whose sum is σ = 313051200. Its totient is φ = 36306144.

The previous prime is 114256321. The next prime is 114256369. The reversal of 114256332 is 233652411.

114256332 is a `hidden beast` number, since 1 + 1 + 4 + 25 + 633 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 114256296 and 114256305.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 821919 + ... + 822057.

It is an arithmetic number, because the mean of its divisors is an integer number (2608760).

Almost surely, 2^114256332 is an apocalyptic number.

114256332 is a gapful number since it is divisible by the number (12) 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 114256332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156525600).

114256332 is an abundant number, since it is smaller than the sum of its proper divisors (198794868).

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

114256332 is a wasteful number, since it uses less digits than its factorization.

114256332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257 (or 246 counting only the distinct ones).

The product of its digits is 4320, while the sum is 27.

The square root of 114256332 is about 10689.0753575789. The cubic root of 114256332 is about 485.2439089174.

The spelling of 114256332 in words is "one hundred fourteen million, two hundred fifty-six thousand, three hundred thirty-two".