14249811948200 has 384 divisors, whose sum is σ = 35319525120000. Its totient is φ = 5338638950400.

The previous prime is 14249811948187. The next prime is 14249811948209. The reversal of 14249811948200 is 284911894241.

It is not an unprimeable number, because it can be changed into a prime (14249811948209) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6750265145 + ... + 6750267255.

It is an arithmetic number, because the mean of its divisors is an integer number (91977930000).

Almost surely, 2^{14249811948200} is an apocalyptic number.

14249811948200 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 14249811948200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17659762560000).

14249811948200 is an abundant number, since it is smaller than the sum of its proper divisors (21069713171800).

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

14249811948200 is a wasteful number, since it uses less digits than its factorization.

14249811948200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2485 (or 2476 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 53.

The spelling of 14249811948200 in words is "fourteen trillion, two hundred forty-nine billion, eight hundred eleven million, nine hundred forty-eight thousand, two hundred".