14689710726656 has 640 divisors, whose sum is σ = 37401126174720. Its totient is φ = 5619526336512.

The previous prime is 14689710726653. The next prime is 14689710726701. The reversal of 14689710726656 is 65662701798641.

It is a Smith number, since the sum of its digits (68) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14689710726653) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 47849220455 + ... + 47849220761.

It is an arithmetic number, because the mean of its divisors is an integer number (58439259648).

Almost surely, 2^{14689710726656} is an apocalyptic number.

14689710726656 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 14689710726656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18700563087360).

14689710726656 is an abundant number, since it is smaller than the sum of its proper divisors (22711415448064).

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

14689710726656 is a wasteful number, since it uses less digits than its factorization.

14689710726656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 734 (or 718 counting only the distinct ones).

The product of its (nonzero) digits is 182891520, while the sum is 68.

The spelling of 14689710726656 in words is "fourteen trillion, six hundred eighty-nine billion, seven hundred ten million, seven hundred twenty-six thousand, six hundred fifty-six".