849134141856 has 1728 divisors, whose sum is σ = 3645307411200. Its totient is φ = 181308948480.

The previous prime is 849134141777. The next prime is 849134141893. The reversal of 849134141856 is 658141431948.

849134141856 is a `hidden beast` number, since 8 + 49 + 1 + 3 + 414 + 185 + 6 = 666.

It is a super-2 number, since 2×849134141856² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1024286850 + ... + 1024287678.

It is an arithmetic number, because the mean of its divisors is an integer number (2109552900).

Almost surely, 2^849134141856 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 849134141856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1822653705600).

849134141856 is an abundant number, since it is smaller than the sum of its proper divisors (2796173269344).

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

849134141856 is a wasteful number, since it uses less digits than its factorization.

849134141856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 923 (or 901 counting only the distinct ones).

The product of its digits is 3317760, while the sum is 54.

The spelling of 849134141856 in words is "eight hundred forty-nine billion, one hundred thirty-four million, one hundred forty-one thousand, eight hundred fifty-six".