114343011200 has 192 divisors, whose sum is σ = 308593998720. Its totient is φ = 41518233600.

The previous prime is 114343011193. The next prime is 114343011221. The reversal of 114343011200 is 2110343411.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28967627 + ... + 28971573.

It is an arithmetic number, because the mean of its divisors is an integer number (1607260410).

Almost surely, 2^114343011200 is an apocalyptic number.

114343011200 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 114343011200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154296999360).

114343011200 is an abundant number, since it is smaller than the sum of its proper divisors (194250987520).

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

114343011200 is a wasteful number, since it uses less digits than its factorization.

114343011200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4805 (or 4788 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 114343011200 its reverse (2110343411), we get a palindrome (116453354611).

The spelling of 114343011200 in words is "one hundred fourteen billion, three hundred forty-three million, eleven thousand, two hundred".