14311344200 has 96 divisors (see below), whose sum is σ = 34011442920. Its totient is φ = 5598720000.

The previous prime is 14311344199. The next prime is 14311344221. The reversal of 14311344200 is 244311341.

It can be written as a sum of positive squares in 12 ways, for example, as 174609796 + 14136734404 = 13214^2 + 118898^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2204960 + ... + 2211440.

Almost surely, 2^14311344200 is an apocalyptic number.

14311344200 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 14311344200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17005721460).

14311344200 is an abundant number, since it is smaller than the sum of its proper divisors (19700098720).

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

14311344200 is a wasteful number, since it uses less digits than its factorization.

14311344200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6739 (or 6730 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 14311344200 its reverse (244311341), we get a palindrome (14555655541).

The spelling of 14311344200 in words is "fourteen billion, three hundred eleven million, three hundred forty-four thousand, two hundred".