13359032967168 has 1680 divisors, whose sum is σ = 49884250166784. Its totient is φ = 3485718282240.

The previous prime is 13359032967143. The next prime is 13359032967229. The reversal of 13359032967168 is 86176923095331.

13359032967168 is a `hidden beast` number, since 1 + 3 + 3 + 5 + 90 + 329 + 67 + 168 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 51980672896 + ... + 51980673152.

Almost surely, 2^{13359032967168} is an apocalyptic number.

13359032967168 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 13359032967168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24942125083392).

13359032967168 is an abundant number, since it is smaller than the sum of its proper divisors (36525217199616).

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

13359032967168 is an equidigital number, since it uses as much as digits as its factorization.

13359032967168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 371 (or 319 counting only the distinct ones).

The product of its (nonzero) digits is 44089920, while the sum is 63.

The spelling of 13359032967168 in words is "thirteen trillion, three hundred fifty-nine billion, thirty-two million, nine hundred sixty-seven thousand, one hundred sixty-eight".