114328224000 has 432 divisors, whose sum is σ = 422544223920. Its totient is φ = 29660774400.

The previous prime is 114328223983. The next prime is 114328224013. The reversal of 114328224000 is 422823411.

114328224000 is a `hidden beast` number, since 1 + 1 + 432 + 8 + 224 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 6943555584 + 107384668416 = 83328^2 + 327696^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10650636 + ... + 10661364.

Almost surely, 2^114328224000 is an apocalyptic number.

114328224000 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 114328224000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211272111960).

114328224000 is an abundant number, since it is smaller than the sum of its proper divisors (308215999920).

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

114328224000 is a wasteful number, since it uses less digits than its factorization.

114328224000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10803 (or 10776 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The spelling of 114328224000 in words is "one hundred fourteen billion, three hundred twenty-eight million, two hundred twenty-four thousand".