114575505200 has 240 divisors, whose sum is σ = 314445811680. Its totient is φ = 39744552960.

The previous prime is 114575505199. The next prime is 114575505211. The reversal of 114575505200 is 2505575411.

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, 80178086 + ... + 80179514.

It is an arithmetic number, because the mean of its divisors is an integer number (1310190882).

Almost surely, 2^114575505200 is an apocalyptic number.

114575505200 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 114575505200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157222905840).

114575505200 is an abundant number, since it is smaller than the sum of its proper divisors (199870306480).

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

114575505200 is a wasteful number, since it uses less digits than its factorization.

114575505200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2384 (or 2373 counting only the distinct ones).

The product of its (nonzero) digits is 35000, while the sum is 35.

The spelling of 114575505200 in words is "one hundred fourteen billion, five hundred seventy-five million, five hundred five thousand, two hundred".