114918720 has 224 divisors, whose sum is σ = 426720000. Its totient is φ = 26191872.

The previous prime is 114918703. The next prime is 114918733. The reversal of 114918720 is 27819411.

It is a tau number, because it is divible by the number of its divisors (224).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 329106 + ... + 329454.

It is an arithmetic number, because the mean of its divisors is an integer number (1905000).

Almost surely, 2^114918720 is an apocalyptic number.

114918720 is a gapful number since it is divisible by the number (10) 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 114918720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213360000).

114918720 is an abundant number, since it is smaller than the sum of its proper divisors (311801280).

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

114918720 is an equidigital number, since it uses as much as digits as its factorization.

114918720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 390 (or 366 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 33.

The square root of 114918720 is about 10720.0149253627. The cubic root of 114918720 is about 486.1798179626.

The spelling of 114918720 in words is "one hundred fourteen million, nine hundred eighteen thousand, seven hundred twenty".