114144434200 has 96 divisors (see below), whose sum is σ = 279774838800. Its totient is φ = 43189493760.

The previous prime is 114144434189. The next prime is 114144434269. The reversal of 114144434200 is 2434441411.

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, 2535084 + ... + 2579716.

Almost surely, 2^114144434200 is an apocalyptic number.

114144434200 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 114144434200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139887419400).

114144434200 is an abundant number, since it is smaller than the sum of its proper divisors (165630404600).

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

114144434200 is a wasteful number, since it uses less digits than its factorization.

114144434200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45341 (or 45332 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

Adding to 114144434200 its reverse (2434441411), we get a palindrome (116578875611).

The spelling of 114144434200 in words is "one hundred fourteen billion, one hundred forty-four million, four hundred thirty-four thousand, two hundred".