114455824 has 40 divisors (see below), whose sum is σ = 256928000. Its totient is φ = 48377088.

The previous prime is 114455821. The next prime is 114455827. The reversal of 114455824 is 428554411.

It is an interprime number because it is at equal distance from previous prime (114455821) and next prime (114455827).

It is a self number, because there is not a number n which added to its sum of digits gives 114455824.

It is not an unprimeable number, because it can be changed into a prime (114455821) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1177 + ... + 15175.

It is an arithmetic number, because the mean of its divisors is an integer number (6423200).

Almost surely, 2^114455824 is an apocalyptic number.

114455824 is a gapful number since it is divisible by the number (14) 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 114455824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128464000).

114455824 is an abundant number, since it is smaller than the sum of its proper divisors (142472176).

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

114455824 is a wasteful number, since it uses less digits than its factorization.

114455824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14087 (or 14081 counting only the distinct ones).

The product of its digits is 25600, while the sum is 34.

The square root of 114455824 is about 10698.4028714570. The cubic root of 114455824 is about 485.5261572961.

The spelling of 114455824 in words is "one hundred fourteen million, four hundred fifty-five thousand, eight hundred twenty-four".