13641236112 has 160 divisors (see below), whose sum is σ = 40717711360. Its totient is φ = 3854822400.

The previous prime is 13641236057. The next prime is 13641236123. The reversal of 13641236112 is 21163214631.

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

It is a self number, because there is not a number n which added to its sum of digits gives 13641236112.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15879939 + ... + 15880797.

It is an arithmetic number, because the mean of its divisors is an integer number (254485696).

Almost surely, 2^13641236112 is an apocalyptic number.

13641236112 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 13641236112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20358855680).

13641236112 is an abundant number, since it is smaller than the sum of its proper divisors (27076475248).

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

13641236112 is a wasteful number, since it uses less digits than its factorization.

13641236112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1341 (or 1335 counting only the distinct ones).

The product of its digits is 5184, while the sum is 30.

The spelling of 13641236112 in words is "thirteen billion, six hundred forty-one million, two hundred thirty-six thousand, one hundred twelve".