114394240800 has 864 divisors, whose sum is σ = 479513309184. Its totient is φ = 25111296000.

The previous prime is 114394240759. The next prime is 114394240819. The reversal of 114394240800 is 8042493411.

It is a happy number.

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 (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 329666227 + ... + 329666573.

It is an arithmetic number, because the mean of its divisors is an integer number (554992256).

Almost surely, 2^114394240800 is an apocalyptic number.

114394240800 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 114394240800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239756654592).

114394240800 is an abundant number, since it is smaller than the sum of its proper divisors (365119068384).

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

114394240800 is a wasteful number, since it uses less digits than its factorization.

114394240800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 622 (or 606 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 114394240800 in words is "one hundred fourteen billion, three hundred ninety-four million, two hundred forty thousand, eight hundred".