822551901728 has 54 divisors (see below), whose sum is σ = 1720443705813. Its totient is φ = 387042204160.

The previous prime is 822551901671. The next prime is 822551901733. The reversal of 822551901728 is 827109155228.

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 752819993104 + 69731908624 = 867652^2 + 264068^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=641308.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 87213173 + ... + 87222603.

Almost surely, 2^822551901728 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 822551901728

822551901728 is an abundant number, since it is smaller than the sum of its proper divisors (897891804085).

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

822551901728 is an frugal number, since it uses more digits than its factorization.

822551901728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18906 (or 9450 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 50.

Multiplying 822551901728 by its sum of digits (50), we get a square (41127595086400 = 6413080²).

The spelling of 822551901728 in words is "eight hundred twenty-two billion, five hundred fifty-one million, nine hundred one thousand, seven hundred twenty-eight".