14680838016 has 144 divisors (see below), whose sum is σ = 45745886160. Its totient is φ = 4517121024.

The previous prime is 14680838009. The next prime is 14680838021. The reversal of 14680838016 is 61083808641.

It is a happy number.

14680838016 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

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 17 ways as a sum of consecutive naturals, for example, 156985 + ... + 232391.

It is an arithmetic number, because the mean of its divisors is an integer number (317679765).

Almost surely, 2^14680838016 is an apocalyptic number.

14680838016 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 14680838016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22872943080).

14680838016 is an abundant number, since it is smaller than the sum of its proper divisors (31065048144).

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

14680838016 is a wasteful number, since it uses less digits than its factorization.

14680838016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75453 (or 75425 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 14680838016 in words is "fourteen billion, six hundred eighty million, eight hundred thirty-eight thousand, sixteen".