14224228200000 has 2016 divisors, whose sum is σ = 64443485852928. Its totient is φ = 2918799360000.

The previous prime is 14224228199983. The next prime is 14224228200029. The reversal of 14224228200000 is 282242241.

14224228200000 is a `hidden beast` number, since 14 + 22 + 422 + 8 + 200 + 0 + 0 + 0 = 666.

14224228200000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (2016).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 6060598827 + ... + 6060601173.

It is an arithmetic number, because the mean of its divisors is an integer number (31966014808).

Almost surely, 2^{14224228200000} is an apocalyptic number.

14224228200000 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 14224228200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32221742926464).

14224228200000 is an abundant number, since it is smaller than the sum of its proper divisors (50219257652928).

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

14224228200000 is a wasteful number, since it uses less digits than its factorization.

14224228200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2447 (or 2414 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

The spelling of 14224228200000 in words is "fourteen trillion, two hundred twenty-four billion, two hundred twenty-eight million, two hundred thousand".