822609849096 has 384 divisors, whose sum is σ = 2728033862400. Its totient is φ = 228868899840.

The previous prime is 822609849059. The next prime is 822609849119. The reversal of 822609849096 is 690948906228.

822609849096 is a `hidden beast` number, since 82 + 2 + 60 + 9 + 8 + 490 + 9 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 283363981 + ... + 283366883.

It is an arithmetic number, because the mean of its divisors is an integer number (7104254850).

Almost surely, 2^822609849096 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 822609849096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1364016931200).

822609849096 is an abundant number, since it is smaller than the sum of its proper divisors (1905424013304).

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

822609849096 is a wasteful number, since it uses less digits than its factorization.

822609849096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3626 (or 3609 counting only the distinct ones).

The product of its (nonzero) digits is 26873856, while the sum is 63.

The spelling of 822609849096 in words is "eight hundred twenty-two billion, six hundred nine million, eight hundred forty-nine thousand, ninety-six".