14079347884896 has 768 divisors, whose sum is σ = 45993236889600. Its totient is φ = 3762810132480.

The previous prime is 14079347884837. The next prime is 14079347884961. The reversal of 14079347884896 is 69848874397041.

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 127 ways as a sum of consecutive naturals, for example, 6156250665 + ... + 6156252951.

It is an arithmetic number, because the mean of its divisors is an integer number (59887027200).

Almost surely, 2^{14079347884896} is an apocalyptic number.

14079347884896 is a gapful number since it is divisible by the number (16) 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 14079347884896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22996618444800).

14079347884896 is an abundant number, since it is smaller than the sum of its proper divisors (31913889004704).

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

14079347884896 is a wasteful number, since it uses less digits than its factorization.

14079347884896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2552 (or 2530 counting only the distinct ones).

The product of its (nonzero) digits is 2341011456, while the sum is 78.

The spelling of 14079347884896 in words is "fourteen trillion, seventy-nine billion, three hundred forty-seven million, eight hundred eighty-four thousand, eight hundred ninety-six".