13323180423168 has 2304 divisors, whose sum is σ = 54261881856000. Its totient is φ = 3160365465600.

The previous prime is 13323180423089. The next prime is 13323180423221. The reversal of 13323180423168 is 86132408132331.

13323180423168 is a `hidden beast` number, since 1 + 3 + 32 + 3 + 180 + 423 + 16 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 21114390213 + ... + 21114390843.

It is an arithmetic number, because the mean of its divisors is an integer number (23551164000).

Almost surely, 2^{13323180423168} is an apocalyptic number.

13323180423168 is a gapful number since it is divisible by the number (18) 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 13323180423168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27130940928000).

13323180423168 is an abundant number, since it is smaller than the sum of its proper divisors (40938701432832).

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

13323180423168 is a wasteful number, since it uses less digits than its factorization.

13323180423168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 734 (or 702 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

Adding to 13323180423168 its reverse (86132408132331), we get a palindrome (99455588555499).

The spelling of 13323180423168 in words is "thirteen trillion, three hundred twenty-three billion, one hundred eighty million, four hundred twenty-three thousand, one hundred sixty-eight".