13378719744 has 156 divisors (see below), whose sum is σ = 41619093516. Its totient is φ = 4116381696.

The previous prime is 13378719737. The next prime is 13378719797. The reversal of 13378719744 is 44791787331.

13378719744 is a `hidden beast` number, since 1 + 337 + 87 + 197 + 44 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 7800422400 + 5578297344 = 88320^2 + 74688^2 .

It is a tau number, because it is divible by the number of its divisors (156).

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 11 ways as a sum of consecutive naturals, for example, 465274 + ... + 493190.

It is an arithmetic number, because the mean of its divisors is an integer number (266789061).

Almost surely, 2^13378719744 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 13378719744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20809546758).

13378719744 is an abundant number, since it is smaller than the sum of its proper divisors (28240373772).

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

13378719744 is a wasteful number, since it uses less digits than its factorization.

13378719744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27960 (or 27935 counting only the distinct ones).

The product of its digits is 3556224, while the sum is 54.

The spelling of 13378719744 in words is "thirteen billion, three hundred seventy-eight million, seven hundred nineteen thousand, seven hundred forty-four".