114468900 has 216 divisors, whose sum is σ = 415598400. Its totient is φ = 24111360.

The previous prime is 114468899. The next prime is 114468911. The reversal of 114468900 is 9864411.

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 71 ways as a sum of consecutive naturals, for example, 190801 + ... + 191399.

Almost surely, 2^114468900 is an apocalyptic number.

114468900 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 114468900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207799200).

114468900 is an abundant number, since it is smaller than the sum of its proper divisors (301129500).

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

114468900 is a wasteful number, since it uses less digits than its factorization.

114468900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 643 (or 629 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 114468900 is about 10699.0139732594. The cubic root of 114468900 is about 485.5446462294.

The spelling of 114468900 in words is "one hundred fourteen million, four hundred sixty-eight thousand, nine hundred".