13481443360 has 384 divisors, whose sum is σ = 42796615680. Its totient is φ = 3884236800.

The previous prime is 13481443357. The next prime is 13481443361. The reversal of 13481443360 is 6334418431.

It is not an unprimeable number, because it can be changed into a prime (13481443361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12356415 + ... + 12357505.

It is an arithmetic number, because the mean of its divisors is an integer number (111449520).

Almost surely, 2^13481443360 is an apocalyptic number.

13481443360 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 13481443360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21398307840).

13481443360 is an abundant number, since it is smaller than the sum of its proper divisors (29315172320).

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

13481443360 is a wasteful number, since it uses less digits than its factorization.

13481443360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1200 (or 1192 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 37.

The spelling of 13481443360 in words is "thirteen billion, four hundred eighty-one million, four hundred forty-three thousand, three hundred sixty".