14079678816 has 288 divisors, whose sum is σ = 44257207680. Its totient is φ = 3906330624.

The previous prime is 14079678787. The next prime is 14079678829. The reversal of 14079678816 is 61887697041.

It is a happy number.

14079678816 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26920731 + ... + 26921253.

It is an arithmetic number, because the mean of its divisors is an integer number (153670860).

Almost surely, 2^14079678816 is an apocalyptic number.

14079678816 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 14079678816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22128603840).

14079678816 is an abundant number, since it is smaller than the sum of its proper divisors (30177528864).

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

14079678816 is a wasteful number, since it uses less digits than its factorization.

14079678816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 706 (or 691 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 57.

The spelling of 14079678816 in words is "fourteen billion, seventy-nine million, six hundred seventy-eight thousand, eight hundred sixteen".