14440800219648 has 320 divisors, whose sum is σ = 42230697062400. Its totient is φ = 4348753756160.

The previous prime is 14440800219647. The next prime is 14440800219721. The reversal of 14440800219648 is 84691200804441.

It is a self number, because there is not a number n which added to its sum of digits gives 14440800219648.

It is not an unprimeable number, because it can be changed into a prime (14440800219647) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1904361265 + ... + 1904368847.

It is an arithmetic number, because the mean of its divisors is an integer number (131970928320).

Almost surely, 2^{14440800219648} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14440800219648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21115348531200).

14440800219648 is an abundant number, since it is smaller than the sum of its proper divisors (27789896842752).

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

14440800219648 is a wasteful number, since it uses less digits than its factorization.

14440800219648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8303 (or 8287 counting only the distinct ones).

The product of its (nonzero) digits is 1769472, while the sum is 51.

The spelling of 14440800219648 in words is "fourteen trillion, four hundred forty billion, eight hundred million, two hundred nineteen thousand, six hundred forty-eight".