822282873408 has 84 divisors (see below), whose sum is σ = 2357344853500. Its totient is φ = 274045510656.

The previous prime is 822282873397. The next prime is 822282873409. The reversal of 822282873408 is 804378282228.

822282873408 is a `hidden beast` number, since 8 + 2 + 228 + 2 + 8 + 7 + 3 + 408 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 156113492544 + 666169380864 = 395112^2 + 816192^2 .

It is a super-3 number, since 3×822282873408³ (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (822282873409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3187266 + ... + 3435582.

Almost surely, 2^822282873408 is an apocalyptic number.

It is an amenable number.

822282873408 is an abundant number, since it is smaller than the sum of its proper divisors (1535061980092).

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

822282873408 is a wasteful number, since it uses less digits than its factorization.

822282873408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254084 (or 254071 counting only the distinct ones).

The product of its (nonzero) digits is 5505024, while the sum is 54.

The spelling of 822282873408 in words is "eight hundred twenty-two billion, two hundred eighty-two million, eight hundred seventy-three thousand, four hundred eight".