13641063200 has 72 divisors (see below), whose sum is σ = 33368958000. Its totient is φ = 5445331200.

The previous prime is 13641063193. The next prime is 13641063251. The reversal of 13641063200 is 236014631.

It is a self number, because there is not a number n which added to its sum of digits gives 13641063200.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 382115 + ... + 416285.

It is an arithmetic number, because the mean of its divisors is an integer number (463457750).

Almost surely, 2^13641063200 is an apocalyptic number.

13641063200 is a gapful number since it is divisible by the number (10) 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 13641063200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16684479000).

13641063200 is an abundant number, since it is smaller than the sum of its proper divisors (19727894800).

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

13641063200 is a wasteful number, since it uses less digits than its factorization.

13641063200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34690 (or 34677 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 26.

Adding to 13641063200 its reverse (236014631), we get a palindrome (13877077831).

The spelling of 13641063200 in words is "thirteen billion, six hundred forty-one million, sixty-three thousand, two hundred".