13286984832 has 288 divisors, whose sum is σ = 42325920000. Its totient is φ = 3997762560.

The previous prime is 13286984819. The next prime is 13286984849. The reversal of 13286984832 is 23848968231.

13286984832 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 27738769 + ... + 27739247.

It is an arithmetic number, because the mean of its divisors is an integer number (146965000).

Almost surely, 2^13286984832 is an apocalyptic number.

13286984832 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 13286984832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21162960000).

13286984832 is an abundant number, since it is smaller than the sum of its proper divisors (29038935168).

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

13286984832 is a wasteful number, since it uses less digits than its factorization.

13286984832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 720 (or 694 counting only the distinct ones).

The product of its digits is 3981312, while the sum is 54.

The spelling of 13286984832 in words is "thirteen billion, two hundred eighty-six million, nine hundred eighty-four thousand, eight hundred thirty-two".