84864678912 has 1056 divisors, whose sum is σ = 309689811200. Its totient is φ = 22741254144.

The previous prime is 84864678889. The next prime is 84864678919. The reversal of 84864678912 is 21987646848.

84864678912 is a `hidden beast` number, since 8 + 4 + 86 + 467 + 8 + 91 + 2 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 84864678912.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84864678919) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1973597163 + ... + 1973597205.

Almost surely, 2^84864678912 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 84864678912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154844905600).

84864678912 is an abundant number, since it is smaller than the sum of its proper divisors (224825132288).

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

84864678912 is a wasteful number, since it uses less digits than its factorization.

84864678912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 97 counting only the distinct ones).

The product of its digits is 37158912, while the sum is 63.

The spelling of 84864678912 in words is "eighty-four billion, eight hundred sixty-four million, six hundred seventy-eight thousand, nine hundred twelve".