84884544865728 has 448 divisors, whose sum is σ = 271814763456000. Its totient is φ = 25873875836928.

The previous prime is 84884544865693. The next prime is 84884544865733. The reversal of 84884544865728 is 82756844548848.

84884544865728 is a `hidden beast` number, since 8 + 4 + 8 + 8 + 4 + 544 + 8 + 65 + 7 + 2 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3954176851 + ... + 3954198317.

Almost surely, 2^{84884544865728} 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 84884544865728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135907381728000).

84884544865728 is an abundant number, since it is smaller than the sum of its proper divisors (186930218590272).

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

84884544865728 is a wasteful number, since it uses less digits than its factorization.

84884544865728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25689 (or 25673 counting only the distinct ones).

The product of its digits is 17616076800, while the sum is 81.

The spelling of 84884544865728 in words is "eighty-four trillion, eight hundred eighty-four billion, five hundred forty-four million, eight hundred sixty-five thousand, seven hundred twenty-eight".