13045053315168 has 672 divisors, whose sum is σ = 44444529239040. Its totient is φ = 3690250721280.

The previous prime is 13045053315127. The next prime is 13045053315191. The reversal of 13045053315168 is 86151335054031.

13045053315168 is a `hidden beast` number, since 1 + 3 + 0 + 4 + 5 + 0 + 533 + 1 + 51 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 16085145483 + ... + 16085146293.

It is an arithmetic number, because the mean of its divisors is an integer number (66137692320).

Almost surely, 2^{13045053315168} is an apocalyptic number.

13045053315168 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 13045053315168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22222264619520).

13045053315168 is an abundant number, since it is smaller than the sum of its proper divisors (31399475923872).

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

13045053315168 is an equidigital number, since it uses as much as digits as its factorization.

13045053315168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1702 (or 1679 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 45.

Adding to 13045053315168 its reverse (86151335054031), we get a palindrome (99196388369199).

The spelling of 13045053315168 in words is "thirteen trillion, forty-five billion, fifty-three million, three hundred fifteen thousand, one hundred sixty-eight".