114661332 has 60 divisors (see below), whose sum is σ = 301260960. Its totient is φ = 38027664.

The previous prime is 114661301. The next prime is 114661373. The reversal of 114661332 is 233166411.

114661332 is a `hidden beast` number, since 1 + 1 + 46 + 613 + 3 + 2 = 666.

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

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

It is a junction number, because it is equal to n+sod(n) for n = 114661296 and 114661305.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 72769 + ... + 74327.

It is an arithmetic number, because the mean of its divisors is an integer number (5021016).

Almost surely, 2^114661332 is an apocalyptic number.

114661332 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 114661332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150630480).

114661332 is an abundant number, since it is smaller than the sum of its proper divisors (186599628).

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

114661332 is a wasteful number, since it uses less digits than its factorization.

114661332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1802 (or 1791 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

The square root of 114661332 is about 10708.0031751956. The cubic root of 114661332 is about 485.8165745849.

The spelling of 114661332 in words is "one hundred fourteen million, six hundred sixty-one thousand, three hundred thirty-two".