13881168 has 120 divisors (see below), whose sum is σ = 45497088. Its totient is φ = 3868416.

The previous prime is 13881151. The next prime is 13881173. The reversal of 13881168 is 86118831.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 47230 + ... + 47522.

Almost surely, 2^13881168 is an apocalyptic number.

13881168 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 13881168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22748544).

13881168 is an abundant number, since it is smaller than the sum of its proper divisors (31615920).

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

13881168 is a wasteful number, since it uses less digits than its factorization.

13881168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 361 (or 352 counting only the distinct ones).

The product of its digits is 9216, while the sum is 36.

The square root of 13881168 is about 3725.7439525550. The cubic root of 13881168 is about 240.3303783336.

Adding to 13881168 its reverse (86118831), we get a palindrome (99999999).

It can be divided in two parts, 1388 and 1168, that added together give a triangular number (2556 = T₇₁).

The spelling of 13881168 in words is "thirteen million, eight hundred eighty-one thousand, one hundred sixty-eight".