13286337984 has 336 divisors, whose sum is σ = 41192476416. Its totient is φ = 4242585600.

The previous prime is 13286337983. The next prime is 13286337997. The reversal of 13286337984 is 48973368231.

13286337984 is a `hidden beast` number, since 132 + 8 + 63 + 379 + 84 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 13286337984.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13286337983) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 42721189 + ... + 42721499.

It is an arithmetic number, because the mean of its divisors is an integer number (122596656).

Almost surely, 2^13286337984 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 13286337984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20596238208).

13286337984 is an abundant number, since it is smaller than the sum of its proper divisors (27906138432).

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

13286337984 is an equidigital number, since it uses as much as digits as its factorization.

13286337984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 446 (or 424 counting only the distinct ones).

The product of its digits is 5225472, while the sum is 54.

The spelling of 13286337984 in words is "thirteen billion, two hundred eighty-six million, three hundred thirty-seven thousand, nine hundred eighty-four".