114188352 has 56 divisors (see below), whose sum is σ = 306299616. Its totient is φ = 37536768.

The previous prime is 114188339. The next prime is 114188363. The reversal of 114188352 is 253881411.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9943 + ... + 18089.

It is an arithmetic number, because the mean of its divisors is an integer number (5469636).

Almost surely, 2^114188352 is an apocalyptic number.

114188352 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 114188352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153149808).

114188352 is an abundant number, since it is smaller than the sum of its proper divisors (192111264).

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

114188352 is an equidigital number, since it uses as much as digits as its factorization.

114188352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8235 (or 8225 counting only the distinct ones).

The product of its digits is 7680, while the sum is 33.

The square root of 114188352 is about 10685.8950022916. The cubic root of 114188352 is about 485.1476533469.

The spelling of 114188352 in words is "one hundred fourteen million, one hundred eighty-eight thousand, three hundred fifty-two".