13482811584 has 280 divisors, whose sum is σ = 44051165136. Its totient is φ = 4043520000.

The previous prime is 13482811567. The next prime is 13482811603. The reversal of 13482811584 is 48511828431.

13482811584 is a `hidden beast` number, since 1 + 3 + 48 + 28 + 1 + 1 + 584 = 666.

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 39 ways as a sum of consecutive naturals, for example, 5758254 + ... + 5760594.

Almost surely, 2^13482811584 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13482811584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22025582568).

13482811584 is an abundant number, since it is smaller than the sum of its proper divisors (30568353552).

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

13482811584 is a wasteful number, since it uses less digits than its factorization.

13482811584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2477 (or 2458 counting only the distinct ones).

The product of its digits is 245760, while the sum is 45.

The spelling of 13482811584 in words is "thirteen billion, four hundred eighty-two million, eight hundred eleven thousand, five hundred eighty-four".