14359444480 has 176 divisors, whose sum is σ = 35277834240. Its totient is φ = 5607014400.

The previous prime is 14359444447. The next prime is 14359444481. The reversal of 14359444480 is 8444495341.

14359444480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 14359444480.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14359444481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52986745 + ... + 52987015.

It is an arithmetic number, because the mean of its divisors is an integer number (200442240).

Almost surely, 2^14359444480 is an apocalyptic number.

14359444480 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 14359444480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17638917120).

14359444480 is an abundant number, since it is smaller than the sum of its proper divisors (20918389760).

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

14359444480 is a wasteful number, since it uses less digits than its factorization.

14359444480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 506 (or 488 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 46.

The spelling of 14359444480 in words is "fourteen billion, three hundred fifty-nine million, four hundred forty-four thousand, four hundred eighty".