13322349759744 has 216 divisors, whose sum is σ = 39999603676032. Its totient is φ = 4422351790080.

The previous prime is 13322349759683. The next prime is 13322349759757. The reversal of 13322349759744 is 44795794322331.

13322349759744 is a `hidden beast` number, since 1 + 3 + 3 + 2 + 2 + 34 + 9 + 7 + 597 + 4 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (216).

It is a super-5 number, since 5×13322349759744⁵ (a number of 67 digits) contains 55555 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14547817 + ... + 15436439.

It is an arithmetic number, because the mean of its divisors is an integer number (185183350352).

Almost surely, 2^{13322349759744} 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 13322349759744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19999801838016).

13322349759744 is an abundant number, since it is smaller than the sum of its proper divisors (26677253916288).

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

13322349759744 is an frugal number, since it uses more digits than its factorization.

13322349759744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 888895 (or 888869 counting only the distinct ones).

The product of its digits is 137168640, while the sum is 63.

The spelling of 13322349759744 in words is "thirteen trillion, three hundred twenty-two billion, three hundred forty-nine million, seven hundred fifty-nine thousand, seven hundred forty-four".