114998400 has 384 divisors, whose sum is σ = 462916800. Its totient is φ = 27878400.

The previous prime is 114998363. The next prime is 114998417. The reversal of 114998400 is 4899411.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10454395 + ... + 10454405.

Almost surely, 2^114998400 is an apocalyptic number.

114998400 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 114998400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231458400).

114998400 is an abundant number, since it is smaller than the sum of its proper divisors (347918400).

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

114998400 is an equidigital number, since it uses as much as digits as its factorization.

114998400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 114998400 is about 10723.7306941195. The cubic root of 114998400 is about 486.2921578205.

The spelling of 114998400 in words is "one hundred fourteen million, nine hundred ninety-eight thousand, four hundred".