856485575946 has 1024 divisors, whose sum is σ = 2800295608320. Its totient is φ = 186810624000.

The previous prime is 856485575941. The next prime is 856485575963. The reversal of 856485575946 is 649575584658.

856485575946 is a `hidden beast` number, since 8 + 5 + 6 + 4 + 8 + 5 + 575 + 9 + 46 = 666.

Its product of digits (1451520000) is a multiple of the sum of its prime factors (480).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (856485575941) 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 511 ways as a sum of consecutive naturals, for example, 2736375486 + ... + 2736375798.

It is an arithmetic number, because the mean of its divisors is an integer number (2734663680).

Almost surely, 2^856485575946 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 856485575946, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1400147804160).

856485575946 is an abundant number, since it is smaller than the sum of its proper divisors (1943810032374).

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

856485575946 is a wasteful number, since it uses less digits than its factorization.

856485575946 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 480 (or 474 counting only the distinct ones).

The product of its digits is 1451520000, while the sum is 72.

The spelling of 856485575946 in words is "eight hundred fifty-six billion, four hundred eighty-five million, five hundred seventy-five thousand, nine hundred forty-six".