13887111168 has 432 divisors, whose sum is σ = 48221504955. Its totient is φ = 3839754240.

The previous prime is 13887111167. The next prime is 13887111179. The reversal of 13887111168 is 86111178831.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 6943555584 + 6943555584 = 83328^2 + 83328^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=83328.

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

Its product of digits (64512) is a multiple of the sum of its prime factors (112).

It is not an unprimeable number, because it can be changed into a prime (13887111167) by changing a digit.

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 26 ways as a sum of consecutive naturals, for example, 447971313 + ... + 447971343.

Almost surely, 2^13887111168 is an apocalyptic number.

13887111168 is a gapful number since it is divisible by the number (18) 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 13887111168

13887111168 is an abundant number, since it is smaller than the sum of its proper divisors (34334393787).

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

13887111168 is an frugal number, since it uses more digits than its factorization.

13887111168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 43 counting only the distinct ones).

The product of its digits is 64512, while the sum is 45.

Adding to 13887111168 its reverse (86111178831), we get a palindrome (99998289999).

The spelling of 13887111168 in words is "thirteen billion, eight hundred eighty-seven million, one hundred eleven thousand, one hundred sixty-eight".