14681007528 has 128 divisors (see below), whose sum is σ = 41513472000. Its totient is φ = 4286246400.

The previous prime is 14681007511. The next prime is 14681007563. The reversal of 14681007528 is 82570018641.

14681007528 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 14681007528.

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, 1903023 + ... + 1910721.

It is an arithmetic number, because the mean of its divisors is an integer number (324324000).

Almost surely, 2^14681007528 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 14681007528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20756736000).

14681007528 is an abundant number, since it is smaller than the sum of its proper divisors (26832464472).

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

14681007528 is a wasteful number, since it uses less digits than its factorization.

14681007528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7983 (or 7979 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 42.

The spelling of 14681007528 in words is "fourteen billion, six hundred eighty-one million, seven thousand, five hundred twenty-eight".