14046678688 has 192 divisors, whose sum is σ = 33476889600. Its totient is φ = 5795629056.

The previous prime is 14046678673. The next prime is 14046678691. The reversal of 14046678688 is 88687664041.

14046678688 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 31 ways as a sum of consecutive naturals, for example, 37658470 + ... + 37658842.

It is an arithmetic number, because the mean of its divisors is an integer number (174358800).

Almost surely, 2^14046678688 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 14046678688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16738444800).

14046678688 is an abundant number, since it is smaller than the sum of its proper divisors (19430210912).

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

14046678688 is an equidigital number, since it uses as much as digits as its factorization.

14046678688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 524 (or 502 counting only the distinct ones).

The product of its (nonzero) digits is 12386304, while the sum is 58.

The spelling of 14046678688 in words is "fourteen billion, forty-six million, six hundred seventy-eight thousand, six hundred eighty-eight".