856142684928 has 216 divisors, whose sum is σ = 2622688286400. Its totient is φ = 267832645632.

The previous prime is 856142684923. The next prime is 856142684981. The reversal of 856142684928 is 829486241658.

856142684928 is a `hidden beast` number, since 8 + 5 + 614 + 2 + 6 + 8 + 4 + 9 + 2 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (856142684923) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4592643 + ... + 4775421.

It is an arithmetic number, because the mean of its divisors is an integer number (12142075400).

Almost surely, 2^856142684928 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 856142684928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1311344143200).

856142684928 is an abundant number, since it is smaller than the sum of its proper divisors (1766545601472).

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

856142684928 is a wasteful number, since it uses less digits than its factorization.

856142684928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182927 (or 182910 counting only the distinct ones).

The product of its digits is 53084160, while the sum is 63.

The spelling of 856142684928 in words is "eight hundred fifty-six billion, one hundred forty-two million, six hundred eighty-four thousand, nine hundred twenty-eight".