114415891200 has 1296 divisors, whose sum is σ = 475678617120. Its totient is φ = 26741145600.

The previous prime is 114415891181. The next prime is 114415891237. The reversal of 114415891200 is 2198514411.

114415891200 is a `hidden beast` number, since 1 + 1 + 441 + 5 + 8 + 9 + 1 + 200 = 666.

114415891200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2158790374 + ... + 2158790426.

It is an arithmetic number, because the mean of its divisors is an integer number (367035970).

Almost surely, 2^114415891200 is an apocalyptic number.

114415891200 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 114415891200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237839308560).

114415891200 is an abundant number, since it is smaller than the sum of its proper divisors (361262725920).

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

114415891200 is a wasteful number, since it uses less digits than its factorization.

114415891200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 36.

The spelling of 114415891200 in words is "one hundred fourteen billion, four hundred fifteen million, eight hundred ninety-one thousand, two hundred".