822151774208 has 48 divisors (see below), whose sum is σ = 1644606788685. Its totient is φ = 410993819648.

The previous prime is 822151774189. The next prime is 822151774211. The reversal of 822151774208 is 802477151228.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 821502951424 + 648822784 = 906368^2 + 25472^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=641152.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 164132408 + ... + 164137416.

Almost surely, 2^822151774208 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 822151774208

822151774208 is an abundant number, since it is smaller than the sum of its proper divisors (822455014477).

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

822151774208 is an frugal number, since it uses more digits than its factorization.

822151774208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10048 (or 5011 counting only the distinct ones).

The product of its (nonzero) digits is 501760, while the sum is 47.

The spelling of 822151774208 in words is "eight hundred twenty-two billion, one hundred fifty-one million, seven hundred seventy-four thousand, two hundred eight".