13881104160 has 288 divisors, whose sum is σ = 55489396032. Its totient is φ = 2884331520.

The previous prime is 13881104119. The next prime is 13881104173. The reversal of 13881104160 is 6140118831.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 231894 + ... + 285546.

It is an arithmetic number, because the mean of its divisors is an integer number (192671514).

Almost surely, 2^13881104160 is an apocalyptic number.

13881104160 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 13881104160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27744698016).

13881104160 is an abundant number, since it is smaller than the sum of its proper divisors (41608291872).

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

13881104160 is a wasteful number, since it uses less digits than its factorization.

13881104160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53696 (or 53681 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 33.

The spelling of 13881104160 in words is "thirteen billion, eight hundred eighty-one million, one hundred four thousand, one hundred sixty".