856845823212288 has 1296 divisors, whose sum is σ = 3211418678002080. Its totient is φ = 225848745787392.

The previous prime is 856845823212263. The next prime is 856845823212341. The reversal of 856845823212288 is 882212328548658.

856845823212288 is a `hidden beast` number, since 8 + 5 + 6 + 8 + 4 + 582 + 3 + 2 + 12 + 28 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (1296).

It is a super-2 number, since 2×856845823212288² (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 an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 80402155056 + ... + 80402165712.

Almost surely, 2^{856845823212288} 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 856845823212288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1605709339001040).

856845823212288 is an abundant number, since it is smaller than the sum of its proper divisors (2354572854789792).

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

856845823212288 is a wasteful number, since it uses less digits than its factorization.

856845823212288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12744 (or 12711 counting only the distinct ones).

The product of its digits is 943718400, while the sum is 72.

The spelling of 856845823212288 in words is "eight hundred fifty-six trillion, eight hundred forty-five billion, eight hundred twenty-three million, two hundred twelve thousand, two hundred eighty-eight".