13228169546664 has 320 divisors, whose sum is σ = 39488081592960. Its totient is φ = 4122867548160.

The previous prime is 13228169546639. The next prime is 13228169546687. The reversal of 13228169546664 is 46664596182231.

It is a happy number.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1051768344 + ... + 1051780920.

It is an arithmetic number, because the mean of its divisors is an integer number (123400254978).

Almost surely, 2^{13228169546664} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13228169546664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19744040796480).

13228169546664 is an abundant number, since it is smaller than the sum of its proper divisors (26259912046296).

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

13228169546664 is a wasteful number, since it uses less digits than its factorization.

13228169546664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13230 (or 13217 counting only the distinct ones).

The product of its digits is 89579520, while the sum is 63.

The spelling of 13228169546664 in words is "thirteen trillion, two hundred twenty-eight billion, one hundred sixty-nine million, five hundred forty-six thousand, six hundred sixty-four".