14314311344200 has 192 divisors, whose sum is σ = 38414831472000. Its totient is φ = 4859015178240.

The previous prime is 14314311344183. The next prime is 14314311344213. The reversal of 14314311344200 is 244311341341.

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, 57262684 + ... + 57512116.

It is an arithmetic number, because the mean of its divisors is an integer number (200077247250).

Almost surely, 2^{14314311344200} is an apocalyptic number.

14314311344200 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 14314311344200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19207415736000).

14314311344200 is an abundant number, since it is smaller than the sum of its proper divisors (24100520127800).

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

14314311344200 is a wasteful number, since it uses less digits than its factorization.

14314311344200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249864 (or 249855 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 31.

Adding to 14314311344200 its reverse (244311341341), we get a palindrome (14558622685541).

The spelling of 14314311344200 in words is "fourteen trillion, three hundred fourteen billion, three hundred eleven million, three hundred forty-four thousand, two hundred".