14709317349584 has 320 divisors, whose sum is σ = 34048128280320. Its totient is φ = 6068514816000.

The previous prime is 14709317349557. The next prime is 14709317349613. The reversal of 14709317349584 is 48594371390741.

It is a self number, because there is not a number n which added to its sum of digits gives 14709317349584.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19431066134 + ... + 19431066890.

It is an arithmetic number, because the mean of its divisors is an integer number (106400400876).

Almost surely, 2^{14709317349584} 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 14709317349584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17024064140160).

14709317349584 is an abundant number, since it is smaller than the sum of its proper divisors (19338810930736).

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

14709317349584 is a wasteful number, since it uses less digits than its factorization.

14709317349584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1430 (or 1424 counting only the distinct ones).

The product of its (nonzero) digits is 91445760, while the sum is 65.

The spelling of 14709317349584 in words is "fourteen trillion, seven hundred nine billion, three hundred seventeen million, three hundred forty-nine thousand, five hundred eighty-four".