114201325000 has 384 divisors, whose sum is σ = 338153356800. Its totient is φ = 35228160000.

The previous prime is 114201324961. The next prime is 114201325001. The reversal of 114201325000 is 523102411.

It is not an unprimeable number, because it can be changed into a prime (114201325001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 68424166 + ... + 68425834.

It is an arithmetic number, because the mean of its divisors is an integer number (880607700).

Almost surely, 2^114201325000 is an apocalyptic number.

114201325000 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 114201325000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169076678400).

114201325000 is an abundant number, since it is smaller than the sum of its proper divisors (223952031800).

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

114201325000 is a wasteful number, since it uses less digits than its factorization.

114201325000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1747 (or 1723 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 19.

Adding to 114201325000 its reverse (523102411), we get a palindrome (114724427411).

The spelling of 114201325000 in words is "one hundred fourteen billion, two hundred one million, three hundred twenty-five thousand".