856808459136 has 384 divisors, whose sum is σ = 2892259319040. Its totient is φ = 238355619840.

The previous prime is 856808459113. The next prime is 856808459161. The reversal of 856808459136 is 631954808658.

856808459136 is a `hidden beast` number, since 8 + 5 + 6 + 8 + 0 + 8 + 4 + 591 + 36 = 666.

856808459136 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 186139011 + ... + 186143613.

It is an arithmetic number, because the mean of its divisors is an integer number (7531925310).

Almost surely, 2^856808459136 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 856808459136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1446129659520).

856808459136 is an abundant number, since it is smaller than the sum of its proper divisors (2035450859904).

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

856808459136 is a wasteful number, since it uses less digits than its factorization.

856808459136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5234 (or 5219 counting only the distinct ones).

The product of its (nonzero) digits is 49766400, while the sum is 63.

The spelling of 856808459136 in words is "eight hundred fifty-six billion, eight hundred eight million, four hundred fifty-nine thousand, one hundred thirty-six".