8244573306816 has 896 divisors, whose sum is σ = 29337299435520. Its totient is φ = 1980319334400.

The previous prime is 8244573306799. The next prime is 8244573306821. The reversal of 8244573306816 is 6186033754428.

It is a happy number.

It is a super-2 number, since 2×8244573306816² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1223771800 + ... + 1223778536.

Almost surely, 2^{8244573306816} 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 8244573306816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14668649717760).

8244573306816 is an abundant number, since it is smaller than the sum of its proper divisors (21092726128704).

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

8244573306816 is a wasteful number, since it uses less digits than its factorization.

8244573306816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6913 (or 6903 counting only the distinct ones).

The product of its (nonzero) digits is 23224320, while the sum is 57.

The spelling of 8244573306816 in words is "eight trillion, two hundred forty-four billion, five hundred seventy-three million, three hundred six thousand, eight hundred sixteen".