114059952 has 60 divisors (see below), whose sum is σ = 320307624. Its totient is φ = 37889280.

The previous prime is 114059927. The next prime is 114059977. The reversal of 114059952 is 259950411.

114059952 is a `hidden beast` number, since 1 + 14 + 0 + 599 + 52 = 666.

It is an interprime number because it is at equal distance from previous prime (114059927) and next prime (114059977).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 46468 + ... + 48860.

Almost surely, 2^114059952 is an apocalyptic number.

114059952 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 114059952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160153812).

114059952 is an abundant number, since it is smaller than the sum of its proper divisors (206247672).

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

114059952 is a wasteful number, since it uses less digits than its factorization.

114059952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2738 (or 2729 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 36.

The square root of 114059952 is about 10679.8853926435. The cubic root of 114059952 is about 484.9657424345.

The spelling of 114059952 in words is "one hundred fourteen million, fifty-nine thousand, nine hundred fifty-two".