822001995648 has 192 divisors, whose sum is σ = 2487775006080. Its totient is φ = 260158279680.

The previous prime is 822001995641. The next prime is 822001995653. The reversal of 822001995648 is 846599100228.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×822001995648² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 822001995594 and 822001995603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (822001995641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1675590 + ... + 2109882.

It is an arithmetic number, because the mean of its divisors is an integer number (12957161490).

Almost surely, 2^822001995648 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 822001995648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1243887503040).

822001995648 is an abundant number, since it is smaller than the sum of its proper divisors (1665773010432).

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

822001995648 is a wasteful number, since it uses less digits than its factorization.

822001995648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 434397 (or 434382 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The spelling of 822001995648 in words is "eight hundred twenty-two billion, one million, nine hundred ninety-five thousand, six hundred forty-eight".