852822273348864 has 576 divisors, whose sum is σ = 3142253265159680. Its totient is φ = 224920146567168.

The previous prime is 852822273348863. The next prime is 852822273348917. The reversal of 852822273348864 is 468843372228258.

852822273348864 is a `hidden beast` number, since 8 + 5 + 2 + 8 + 2 + 2 + 273 + 348 + 8 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a junction number, because it is equal to n+sod(n) for n = 852822273348792 and 852822273348801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (852822273348863) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 42578874 + ... + 59317830.

Almost surely, 2^{852822273348864} is an apocalyptic number.

852822273348864 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 852822273348864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1571126632579840).

852822273348864 is an abundant number, since it is smaller than the sum of its proper divisors (2289430991810816).

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

852822273348864 is an equidigital number, since it uses as much as digits as its factorization.

852822273348864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16739014 (or 16738982 counting only the distinct ones).

The product of its digits is 1981808640, while the sum is 72.

The spelling of 852822273348864 in words is "eight hundred fifty-two trillion, eight hundred twenty-two billion, two hundred seventy-three million, three hundred forty-eight thousand, eight hundred sixty-four".