114225043504400 has 120 divisors (see below), whose sum is σ = 283899974510280. Its totient is φ = 44112735313920.

The previous prime is 114225043504303. The next prime is 114225043504427. The reversal of 114225043504400 is 4405340522411.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 23118094864384 + 91106948640016 = 4808128^2 + 9544996^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 311079314 + ... + 311446286.

It is an arithmetic number, because the mean of its divisors is an integer number (2365833120919).

Almost surely, 2^{114225043504400} is an apocalyptic number.

114225043504400 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 114225043504400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141949987255140).

114225043504400 is an abundant number, since it is smaller than the sum of its proper divisors (169674931005880).

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

114225043504400 is a wasteful number, since it uses less digits than its factorization.

114225043504400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 393853 (or 393842 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 35.

The spelling of 114225043504400 in words is "one hundred fourteen trillion, two hundred twenty-five billion, forty-three million, five hundred four thousand, four hundred".