13468317893184 has 224 divisors, whose sum is σ = 44486684199936. Its totient is φ = 3493640263680.

The previous prime is 13468317893171. The next prime is 13468317893209. The reversal of 13468317893184 is 48139871386431.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (66).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10589767 + ... + 11793209.

Almost surely, 2^{13468317893184} is an apocalyptic number.

13468317893184 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 13468317893184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22243342099968).

13468317893184 is an abundant number, since it is smaller than the sum of its proper divisors (31018366306752).

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

13468317893184 is a wasteful number, since it uses less digits than its factorization.

13468317893184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1204233 (or 1204223 counting only the distinct ones).

The product of its digits is 83607552, while the sum is 66.

The spelling of 13468317893184 in words is "thirteen trillion, four hundred sixty-eight billion, three hundred seventeen million, eight hundred ninety-three thousand, one hundred eighty-four".