854637947856 has 1680 divisors, whose sum is σ = 3417683337600. Its totient is φ = 201755473920.

The previous prime is 854637947851. The next prime is 854637947857. The reversal of 854637947856 is 658749736458.

854637947856 is a `hidden beast` number, since 8 + 5 + 463 + 7 + 94 + 78 + 5 + 6 = 666.

854637947856 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (854637947851) by changing a digit.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 5443553730 + ... + 5443553886.

It is an arithmetic number, because the mean of its divisors is an integer number (2034335320).

Almost surely, 2^854637947856 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 854637947856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1708841668800).

854637947856 is an abundant number, since it is smaller than the sum of its proper divisors (2563045389744).

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

854637947856 is a wasteful number, since it uses less digits than its factorization.

854637947856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260 (or 228 counting only the distinct ones).

The product of its digits is 1219276800, while the sum is 72.

The spelling of 854637947856 in words is "eight hundred fifty-four billion, six hundred thirty-seven million, nine hundred forty-seven thousand, eight hundred fifty-six".