13965948528 has 320 divisors, whose sum is σ = 45961344000. Its totient is φ = 3562094592.

The previous prime is 13965948467. The next prime is 13965948541. The reversal of 13965948528 is 82584956931.

13965948528 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 63 ways as a sum of consecutive naturals, for example, 9772518 + ... + 9773946.

It is an arithmetic number, because the mean of its divisors is an integer number (143629200).

Almost surely, 2^13965948528 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 13965948528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22980672000).

13965948528 is an abundant number, since it is smaller than the sum of its proper divisors (31995395472).

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

13965948528 is a wasteful number, since it uses less digits than its factorization.

13965948528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1552 (or 1546 counting only the distinct ones).

The product of its digits is 18662400, while the sum is 60.

The spelling of 13965948528 in words is "thirteen billion, nine hundred sixty-five million, nine hundred forty-eight thousand, five hundred twenty-eight".