84285693164176 has 135 divisors (see below), whose sum is σ = 200501345047689. Its totient is φ = 34219275842304.

The previous prime is 84285693164147. The next prime is 84285693164213. The reversal of 84285693164176 is 67146139658248.

The square root of 84285693164176 is 9180724.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 2799397459600 + 81486295704576 = 1673140^2 + 9026976^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 4884136540 + ... + 4884153796.

Almost surely, 2^{84285693164176} is an apocalyptic number.

84285693164176 is the 9180724-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84285693164176

84285693164176 is an abundant number, since it is smaller than the sum of its proper divisors (116215651883513).

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

84285693164176 is an frugal number, since it uses more digits than its factorization.

84285693164176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34574 (or 17285 counting only the distinct ones).

The product of its digits is 418037760, while the sum is 70.

The spelling of 84285693164176 in words is "eighty-four trillion, two hundred eighty-five billion, six hundred ninety-three million, one hundred sixty-four thousand, one hundred seventy-six".