114898800 has 180 divisors, whose sum is σ = 386883224. Its totient is φ = 29145600.

The previous prime is 114898799. The next prime is 114898813. The reversal of 114898800 is 8898411.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 634710 + ... + 634890.

Almost surely, 2^114898800 is an apocalyptic number.

114898800 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 114898800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193441612).

114898800 is an abundant number, since it is smaller than the sum of its proper divisors (271984424).

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

114898800 is a wasteful number, since it uses less digits than its factorization.

114898800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 39.

The square root of 114898800 is about 10719.0857819126. The cubic root of 114898800 is about 486.1517248848.

The spelling of 114898800 in words is "one hundred fourteen million, eight hundred ninety-eight thousand, eight hundred".