13481117472 has 96 divisors (see below), whose sum is σ = 35761811904. Its totient is φ = 4446489600.

The previous prime is 13481117459. The next prime is 13481117483. The reversal of 13481117472 is 27471118431.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 13481117472.

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 15 ways as a sum of consecutive naturals, for example, 3664498 + ... + 3668174.

It is an arithmetic number, because the mean of its divisors is an integer number (372518874).

Almost surely, 2^13481117472 is an apocalyptic number.

13481117472 is a gapful number since it is divisible by the number (12) 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 13481117472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17880905952).

13481117472 is an abundant number, since it is smaller than the sum of its proper divisors (22280694432).

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

13481117472 is a wasteful number, since it uses less digits than its factorization.

13481117472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4082 (or 4074 counting only the distinct ones).

The product of its digits is 37632, while the sum is 39.

The spelling of 13481117472 in words is "thirteen billion, four hundred eighty-one million, one hundred seventeen thousand, four hundred seventy-two".