14816343046480 has 240 divisors, whose sum is σ = 35666865455760. Its totient is φ = 5723438579712.

The previous prime is 14816343046471. The next prime is 14816343046487. The reversal of 14816343046480 is 8464034361841.

It can be written as a sum of positive squares in 8 ways, for example, as 462519687744 + 14353823358736 = 680088^2 + 3788644^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14816343046487) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12850253584 + ... + 12850254736.

It is an arithmetic number, because the mean of its divisors is an integer number (148611939399).

Almost surely, 2^{14816343046480} is an apocalyptic number.

14816343046480 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 14816343046480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17833432727880).

14816343046480 is an abundant number, since it is smaller than the sum of its proper divisors (20850522409280).

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

14816343046480 is a wasteful number, since it uses less digits than its factorization.

14816343046480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2158 (or 2109 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 52.

The spelling of 14816343046480 in words is "fourteen trillion, eight hundred sixteen billion, three hundred forty-three million, forty-six thousand, four hundred eighty".