84516068322656 has 96 divisors (see below), whose sum is σ = 171883952190720. Its totient is φ = 40881886004736.

The previous prime is 84516068322611. The next prime is 84516068322667. The reversal of 84516068322656 is 65622386061548.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 830190350 + ... + 830292146.

It is an arithmetic number, because the mean of its divisors is an integer number (1790457835320).

Almost surely, 2^{84516068322656} is an apocalyptic number.

84516068322656 is a gapful number since it is divisible by the number (86) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84516068322656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85941976095360).

84516068322656 is an abundant number, since it is smaller than the sum of its proper divisors (87367883868064).

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

84516068322656 is a wasteful number, since it uses less digits than its factorization.

84516068322656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107596 (or 107588 counting only the distinct ones).

The product of its (nonzero) digits is 99532800, while the sum is 62.

The spelling of 84516068322656 in words is "eighty-four trillion, five hundred sixteen billion, sixty-eight million, three hundred twenty-two thousand, six hundred fifty-six".