13223796180480 has 480 divisors, whose sum is σ = 46536684274080. Its totient is φ = 3469899202560.

The previous prime is 13223796180467. The next prime is 13223796180481. The reversal of 13223796180480 is 8408169732231.

It is a happy number.

13223796180480 is a `hidden beast` number, since 1 + 3 + 2 + 23 + 7 + 9 + 61 + 80 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13223796180481) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 361871010 + ... + 361907550.

It is an arithmetic number, because the mean of its divisors is an integer number (96951425571).

Almost surely, 2^{13223796180480} is an apocalyptic number.

13223796180480 is a gapful number since it is divisible by the number (10) 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 13223796180480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23268342137040).

13223796180480 is an abundant number, since it is smaller than the sum of its proper divisors (33312888093600).

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

13223796180480 is a wasteful number, since it uses less digits than its factorization.

13223796180480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36822 (or 36803 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 13223796180480 in words is "thirteen trillion, two hundred twenty-three billion, seven hundred ninety-six million, one hundred eighty thousand, four hundred eighty".