13656870528 has 256 divisors, whose sum is σ = 42343741440. Its totient is φ = 3819663360.

The previous prime is 13656870467. The next prime is 13656870553. The reversal of 13656870528 is 82507865631.

It is a happy number.

It is a super-3 number, since 3×13656870528³ (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29624218 + ... + 29624678.

It is an arithmetic number, because the mean of its divisors is an integer number (165405240).

Almost surely, 2^13656870528 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 13656870528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21171870720).

13656870528 is an abundant number, since it is smaller than the sum of its proper divisors (28686870912).

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

13656870528 is a wasteful number, since it uses less digits than its factorization.

13656870528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 695 (or 683 counting only the distinct ones).

The product of its (nonzero) digits is 2419200, while the sum is 51.

The spelling of 13656870528 in words is "thirteen billion, six hundred fifty-six million, eight hundred seventy thousand, five hundred twenty-eight".