14143234106200 has 192 divisors, whose sum is σ = 34953923520000. Its totient is φ = 5313182999040.

The previous prime is 14143234106149. The next prime is 14143234106233. The reversal of 14143234106200 is 260143234141.

It is a congruent number.

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, 44274651 + ... + 44592949.

It is an arithmetic number, because the mean of its divisors is an integer number (182051685000).

Almost surely, 2^{14143234106200} is an apocalyptic number.

14143234106200 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 14143234106200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17476961760000).

14143234106200 is an abundant number, since it is smaller than the sum of its proper divisors (20810689413800).

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

14143234106200 is a wasteful number, since it uses less digits than its factorization.

14143234106200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318554 (or 318545 counting only the distinct ones).

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

The spelling of 14143234106200 in words is "fourteen trillion, one hundred forty-three billion, two hundred thirty-four million, one hundred six thousand, two hundred".