822472733984256 has 400 divisors, whose sum is σ = 2568184029496800. Its totient is φ = 261563432435712.

The previous prime is 822472733984243. The next prime is 822472733984287. The reversal of 822472733984256 is 652489337274228.

822472733984256 is a `hidden beast` number, since 8 + 2 + 2 + 47 + 2 + 73 + 3 + 98 + 425 + 6 = 666.

It is a super-2 number, since 2×822472733984256² (a number of 31 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 369941680 + ... + 372158288.

It is an arithmetic number, because the mean of its divisors is an integer number (6420460073742).

Almost surely, 2^{822472733984256} 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 822472733984256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1284092014748400).

822472733984256 is an abundant number, since it is smaller than the sum of its proper divisors (1745711295512544).

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

822472733984256 is a wasteful number, since it uses less digits than its factorization.

822472733984256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2217051 (or 2217026 counting only the distinct ones).

The product of its digits is 1950842880, while the sum is 72.

The spelling of 822472733984256 in words is "eight hundred twenty-two trillion, four hundred seventy-two billion, seven hundred thirty-three million, nine hundred eighty-four thousand, two hundred fifty-six".