114030854992800 has 432 divisors, whose sum is σ = 402610309291008. Its totient is φ = 30369765888000.

The previous prime is 114030854992661. The next prime is 114030854992837. The reversal of 114030854992800 is 8299458030411.

It is a happy number.

114030854992800 is a `hidden beast` number, since 1 + 1 + 4 + 0 + 3 + 0 + 8 + 549 + 92 + 8 + 0 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 29610710875 + ... + 29610714725.

It is an arithmetic number, because the mean of its divisors is an integer number (931968308544).

Almost surely, 2^{114030854992800} is an apocalyptic number.

114030854992800 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 114030854992800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201305154645504).

114030854992800 is an abundant number, since it is smaller than the sum of its proper divisors (288579454298208).

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

114030854992800 is a wasteful number, since it uses less digits than its factorization.

114030854992800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8013 (or 7997 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The spelling of 114030854992800 in words is "one hundred fourteen trillion, thirty billion, eight hundred fifty-four million, nine hundred ninety-two thousand, eight hundred".