13641105114 has 96 divisors (see below), whose sum is σ = 36972883584. Its totient is φ = 3538650240.

The previous prime is 13641105103. The next prime is 13641105169. The reversal of 13641105114 is 41150114631.

13641105114 is a `hidden beast` number, since 1 + 3 + 641 + 1 + 0 + 5 + 1 + 14 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 31657 + ... + 168179.

It is an arithmetic number, because the mean of its divisors is an integer number (385134204).

Almost surely, 2^13641105114 is an apocalyptic number.

13641105114 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13641105114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18486441792).

13641105114 is an abundant number, since it is smaller than the sum of its proper divisors (23331778470).

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

13641105114 is a wasteful number, since it uses less digits than its factorization.

13641105114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136612 (or 136609 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

Adding to 13641105114 its reverse (41150114631), we get a palindrome (54791219745).

The spelling of 13641105114 in words is "thirteen billion, six hundred forty-one million, one hundred five thousand, one hundred fourteen".