13481720784 has 320 divisors, whose sum is σ = 45909204480. Its totient is φ = 3707596800.

The previous prime is 13481720753. The next prime is 13481720797. The reversal of 13481720784 is 48702718431.

13481720784 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 11300092 + ... + 11301284.

It is an arithmetic number, because the mean of its divisors is an integer number (143466264).

Almost surely, 2^13481720784 is an apocalyptic number.

13481720784 is a gapful number since it is divisible by the number (14) 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 13481720784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22954602240).

13481720784 is an abundant number, since it is smaller than the sum of its proper divisors (32427483696).

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

13481720784 is a wasteful number, since it uses less digits than its factorization.

13481720784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1355 (or 1343 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 45.

The spelling of 13481720784 in words is "thirteen billion, four hundred eighty-one million, seven hundred twenty thousand, seven hundred eighty-four".