13344104004 has 96 divisors (see below), whose sum is σ = 38847814656. Its totient is φ = 3463447680.

The previous prime is 13344103987. The next prime is 13344104009. The reversal of 13344104004 is 40040144331.

It is a super-2 number, since 2×13344104004² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13344104009) 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 31 ways as a sum of consecutive naturals, for example, 1471107 + ... + 1480149.

It is an arithmetic number, because the mean of its divisors is an integer number (404664736).

Almost surely, 2^13344104004 is an apocalyptic number.

13344104004 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 13344104004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19423907328).

13344104004 is an abundant number, since it is smaller than the sum of its proper divisors (25503710652).

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

13344104004 is a wasteful number, since it uses less digits than its factorization.

13344104004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10665 (or 10663 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 13344104004 its reverse (40040144331), we get a palindrome (53384248335).

The spelling of 13344104004 in words is "thirteen billion, three hundred forty-four million, one hundred four thousand, four".