14304333142200 has 192 divisors, whose sum is σ = 45597719059200. Its totient is φ = 3707300838400.

The previous prime is 14304333142199. The next prime is 14304333142213. The reversal of 14304333142200 is 224133340341.

It is a happy number.

It is a super-2 number, since 2×14304333142200² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5364331 + ... + 7575269.

It is an arithmetic number, because the mean of its divisors is an integer number (237488120100).

Almost surely, 2^{14304333142200} is an apocalyptic number.

14304333142200 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 14304333142200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22798859529600).

14304333142200 is an abundant number, since it is smaller than the sum of its proper divisors (31293385917000).

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

14304333142200 is a wasteful number, since it uses less digits than its factorization.

14304333142200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2211262 (or 2211253 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 30.

Adding to 14304333142200 its reverse (224133340341), we get a palindrome (14528466482541).

The spelling of 14304333142200 in words is "fourteen trillion, three hundred four billion, three hundred thirty-three million, one hundred forty-two thousand, two hundred".