13652287656 has 128 divisors (see below), whose sum is σ = 40583823360. Its totient is φ = 3744921600.

The previous prime is 13652287643. The next prime is 13652287661. The reversal of 13652287656 is 65678225631.

13652287656 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 13652287599 and 13652287608.

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, 651096 + ... + 671736.

It is an arithmetic number, because the mean of its divisors is an integer number (317061120).

Almost surely, 2^13652287656 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 13652287656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20291911680).

13652287656 is an abundant number, since it is smaller than the sum of its proper divisors (26931535704).

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

13652287656 is a wasteful number, since it uses less digits than its factorization.

13652287656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20815 (or 20811 counting only the distinct ones).

The product of its digits is 3628800, while the sum is 51.

The spelling of 13652287656 in words is "thirteen billion, six hundred fifty-two million, two hundred eighty-seven thousand, six hundred fifty-six".