14065281097728 has 896 divisors, whose sum is σ = 46984074362880. Its totient is φ = 3651977871360.

The previous prime is 14065281097717. The next prime is 14065281097787. The reversal of 14065281097728 is 82779018256041.

It is a tau number, because it is divible by the number of its divisors (896).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12868509150 + ... + 12868510242.

Almost surely, 2^{14065281097728} 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 14065281097728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23492037181440).

14065281097728 is an abundant number, since it is smaller than the sum of its proper divisors (32918793265152).

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

14065281097728 is a wasteful number, since it uses less digits than its factorization.

14065281097728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1306 (or 1282 counting only the distinct ones).

The product of its (nonzero) digits is 13547520, while the sum is 60.

The spelling of 14065281097728 in words is "fourteen trillion, sixty-five billion, two hundred eighty-one million, ninety-seven thousand, seven hundred twenty-eight".