8223192916992 has 528 divisors, whose sum is σ = 25400784942000. Its totient is φ = 2557276323840.

The previous prime is 8223192916889. The next prime is 8223192917041. The reversal of 8223192916992 is 2996192913228.

8223192916992 is a `hidden beast` number, since 8 + 22 + 319 + 291 + 6 + 9 + 9 + 2 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 43958992896 + 8179233924096 = 209664^2 + 2859936^2 .

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1473423642 + ... + 1473429222.

Almost surely, 2^{8223192916992} 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 8223192916992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12700392471000).

8223192916992 is an abundant number, since it is smaller than the sum of its proper divisors (17177592025008).

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

8223192916992 is a wasteful number, since it uses less digits than its factorization.

8223192916992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5822 (or 5801 counting only the distinct ones).

The product of its digits is 15116544, while the sum is 63.

The spelling of 8223192916992 in words is "eight trillion, two hundred twenty-three billion, one hundred ninety-two million, nine hundred sixteen thousand, nine hundred ninety-two".