13481138448 has 240 divisors, whose sum is σ = 42141677760. Its totient is φ = 4156489728.

The previous prime is 13481138413. The next prime is 13481138449. The reversal of 13481138448 is 84483118431.

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

It is not an unprimeable number, because it can be changed into a prime (13481138449) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3897936 + ... + 3901392.

It is an arithmetic number, because the mean of its divisors is an integer number (175590324).

Almost surely, 2^13481138448 is an apocalyptic number.

13481138448 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 13481138448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21070838880).

13481138448 is an abundant number, since it is smaller than the sum of its proper divisors (28660539312).

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

13481138448 is a wasteful number, since it uses less digits than its factorization.

13481138448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3556 (or 3538 counting only the distinct ones).

The product of its digits is 294912, while the sum is 45.

The spelling of 13481138448 in words is "thirteen billion, four hundred eighty-one million, one hundred thirty-eight thousand, four hundred forty-eight".