14220748800 has 576 divisors, whose sum is σ = 53296588800. Its totient is φ = 3762339840.

The previous prime is 14220748777. The next prime is 14220748811. The reversal of 14220748800 is 884702241.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 111974337 + ... + 111974463.

It is an arithmetic number, because the mean of its divisors is an integer number (92528800).

Almost surely, 2^14220748800 is an apocalyptic number.

14220748800 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 14220748800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26648294400).

14220748800 is an abundant number, since it is smaller than the sum of its proper divisors (39075840000).

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

14220748800 is an frugal number, since it uses more digits than its factorization.

14220748800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 36.

The spelling of 14220748800 in words is "fourteen billion, two hundred twenty million, seven hundred forty-eight thousand, eight hundred".