13669633656 has 128 divisors (see below), whose sum is σ = 43501248000. Its totient is φ = 3896107776.

The previous prime is 13669633639. The next prime is 13669633673. The reversal of 13669633656 is 65633696631.

13669633656 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (13669633639) and next prime (13669633673).

It is a Harshad number since it is a multiple of its sum of digits (54).

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 31 ways as a sum of consecutive naturals, for example, 622740 + ... + 644316.

It is an arithmetic number, because the mean of its divisors is an integer number (339853500).

Almost surely, 2^13669633656 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 13669633656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21750624000).

13669633656 is an abundant number, since it is smaller than the sum of its proper divisors (29831614344).

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

13669633656 is a wasteful number, since it uses less digits than its factorization.

13669633656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22018 (or 22008 counting only the distinct ones).

The product of its digits is 9447840, while the sum is 54.

The spelling of 13669633656 in words is "thirteen billion, six hundred sixty-nine million, six hundred thirty-three thousand, six hundred fifty-six".