114047725200 has 120 divisors (see below), whose sum is σ = 365900027328. Its totient is φ = 30365514240.

The previous prime is 114047725193. The next prime is 114047725201. The reversal of 114047725200 is 2527740411.

It is a tau number, because it is divible by the number of its divisors (120).

It is not an unprimeable number, because it can be changed into a prime (114047725201) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 702954 + ... + 849846.

Almost surely, 2^114047725200 is an apocalyptic number.

114047725200 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 114047725200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182950013664).

114047725200 is an abundant number, since it is smaller than the sum of its proper divisors (251852302128).

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

114047725200 is a wasteful number, since it uses less digits than its factorization.

114047725200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147561 (or 147550 counting only the distinct ones).

The product of its (nonzero) digits is 15680, while the sum is 33.

The spelling of 114047725200 in words is "one hundred fourteen billion, forty-seven million, seven hundred twenty-five thousand, two hundred".