822412839168 has 216 divisors, whose sum is σ = 2588468864800. Its totient is φ = 259708944384.

The previous prime is 822412839167. The next prime is 822412839179. The reversal of 822412839168 is 861938214228.

822412839168 is a `hidden beast` number, since 8 + 2 + 2 + 412 + 83 + 91 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (216).

It is a Harshad number since it is a multiple of its sum of digits (54).

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

It is not an unprimeable number, because it can be changed into a prime (822412839167) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 834048 + ... + 1529856.

Almost surely, 2^822412839168 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 822412839168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1294234432400).

822412839168 is an abundant number, since it is smaller than the sum of its proper divisors (1766056025632).

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

822412839168 is an equidigital number, since it uses as much as digits as its factorization.

822412839168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 695859 (or 695833 counting only the distinct ones).

The product of its digits is 2654208, while the sum is 54.

The spelling of 822412839168 in words is "eight hundred twenty-two billion, four hundred twelve million, eight hundred thirty-nine thousand, one hundred sixty-eight".