13644884112 has 80 divisors (see below), whose sum is σ = 36448714752. Its totient is φ = 4394033280.

The previous prime is 13644884111. The next prime is 13644884167. The reversal of 13644884112 is 21148844631.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (13644884111) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 895663 + ... + 910769.

Almost surely, 2^13644884112 is an apocalyptic number.

13644884112 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 13644884112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18224357376).

13644884112 is an abundant number, since it is smaller than the sum of its proper divisors (22803830640).

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

13644884112 is a wasteful number, since it uses less digits than its factorization.

13644884112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15756 (or 15750 counting only the distinct ones).

The product of its digits is 147456, while the sum is 42.

The spelling of 13644884112 in words is "thirteen billion, six hundred forty-four million, eight hundred eighty-four thousand, one hundred twelve".