14304468344320 has 640 divisors, whose sum is σ = 44570002194432. Its totient is φ = 4272633446400.

The previous prime is 14304468344267. The next prime is 14304468344357. The reversal of 14304468344320 is 2344386440341.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×14304468344320² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 629392797 + ... + 629415523.

Almost surely, 2^{14304468344320} is an apocalyptic number.

14304468344320 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 14304468344320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22285001097216).

14304468344320 is an abundant number, since it is smaller than the sum of its proper divisors (30265533850112).

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

14304468344320 is a wasteful number, since it uses less digits than its factorization.

14304468344320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22902 (or 22886 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 46.

The spelling of 14304468344320 in words is "fourteen trillion, three hundred four billion, four hundred sixty-eight million, three hundred forty-four thousand, three hundred twenty".