852446823552 has 256 divisors, whose sum is σ = 2529914323200. Its totient is φ = 282571628544.

The previous prime is 852446823539. The next prime is 852446823563. The reversal of 852446823552 is 255328644258.

852446823552 is a `hidden beast` number, since 8 + 5 + 2 + 4 + 4 + 6 + 82 + 3 + 552 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 589112493 + ... + 589113939.

It is an arithmetic number, because the mean of its divisors is an integer number (9882477825).

Almost surely, 2^852446823552 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 852446823552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1264957161600).

852446823552 is an abundant number, since it is smaller than the sum of its proper divisors (1677467499648).

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

852446823552 is a wasteful number, since it uses less digits than its factorization.

852446823552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2300 (or 2282 counting only the distinct ones).

The product of its digits is 18432000, while the sum is 54.

The spelling of 852446823552 in words is "eight hundred fifty-two billion, four hundred forty-six million, eight hundred twenty-three thousand, five hundred fifty-two".