13613644032 has 144 divisors (see below), whose sum is σ = 36931319040. Its totient is φ = 4451106816.

The previous prime is 13613644021. The next prime is 13613644049. The reversal of 13613644032 is 23044631631.

13613644032 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 = 13613643984 and 13613644002.

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 15 ways as a sum of consecutive naturals, for example, 10495608 + ... + 10496904.

Almost surely, 2^13613644032 is an apocalyptic number.

13613644032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13613644032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18465659520).

13613644032 is an abundant number, since it is smaller than the sum of its proper divisors (23317675008).

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

13613644032 is a wasteful number, since it uses less digits than its factorization.

13613644032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1568 (or 1554 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 33.

The spelling of 13613644032 in words is "thirteen billion, six hundred thirteen million, six hundred forty-four thousand, thirty-two".