114884352 has 144 divisors (see below), whose sum is σ = 370863360. Its totient is φ = 34790400.

The previous prime is 114884339. The next prime is 114884377. The reversal of 114884352 is 253488411.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 75277 + ... + 76787.

It is an arithmetic number, because the mean of its divisors is an integer number (2575440).

Almost surely, 2^114884352 is an apocalyptic number.

114884352 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 114884352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185431680).

114884352 is an abundant number, since it is smaller than the sum of its proper divisors (255979008).

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

114884352 is a wasteful number, since it uses less digits than its factorization.

114884352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1547 (or 1527 counting only the distinct ones).

The product of its digits is 30720, while the sum is 36.

The square root of 114884352 is about 10718.4118226536. The cubic root of 114884352 is about 486.1313469101.

The spelling of 114884352 in words is "one hundred fourteen million, eight hundred eighty-four thousand, three hundred fifty-two".