13228794816 has 224 divisors, whose sum is σ = 37421637120. Its totient is φ = 4115595264.

The previous prime is 13228794797. The next prime is 13228794823. The reversal of 13228794816 is 61849782231.

It is a happy number.

13228794816 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38123155 + ... + 38123501.

It is an arithmetic number, because the mean of its divisors is an integer number (167060880).

Almost surely, 2^13228794816 is an apocalyptic number.

13228794816 is a gapful number since it is divisible by the number (16) 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 13228794816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18710818560).

13228794816 is an abundant number, since it is smaller than the sum of its proper divisors (24192842304).

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

13228794816 is a wasteful number, since it uses less digits than its factorization.

13228794816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 571 (or 561 counting only the distinct ones).

The product of its digits is 1161216, while the sum is 51.

The spelling of 13228794816 in words is "thirteen billion, two hundred twenty-eight million, seven hundred ninety-four thousand, eight hundred sixteen".