13438744704 has 576 divisors, whose sum is σ = 51262735680. Its totient is φ = 3335270400.

The previous prime is 13438744651. The next prime is 13438744757. The reversal of 13438744704 is 40744783431.

It is an interprime number because it is at equal distance from previous prime (13438744651) and next prime (13438744757).

It is a tau number, because it is divible by the number of its divisors (576).

It is a self number, because there is not a number n which added to its sum of digits gives 13438744704.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 14280874 + ... + 14281814.

It is an arithmetic number, because the mean of its divisors is an integer number (88997805).

Almost surely, 2^13438744704 is an apocalyptic number.

13438744704 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 13438744704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25631367840).

13438744704 is an abundant number, since it is smaller than the sum of its proper divisors (37823990976).

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

13438744704 is a wasteful number, since it uses less digits than its factorization.

13438744704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1009 (or 987 counting only the distinct ones).

The product of its (nonzero) digits is 903168, while the sum is 45.

The spelling of 13438744704 in words is "thirteen billion, four hundred thirty-eight million, seven hundred forty-four thousand, seven hundred four".