85284366348258 has 96 divisors (see below), whose sum is σ = 230501292727680. Its totient is φ = 22139981095680.

The previous prime is 85284366348257. The next prime is 85284366348283.

85284366348258 is a `hidden beast` number, since 8 + 5 + 2 + 8 + 4 + 36 + 63 + 482 + 58 = 666.

85284366348258 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (85284366348257) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13789723 + ... + 18992766.

It is an arithmetic number, because the mean of its divisors is an integer number (2401055132580).

Almost surely, 2^{85284366348258} is an apocalyptic number.

85284366348258 is an abundant number, since it is smaller than the sum of its proper divisors (145216926379422).

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

85284366348258 is a wasteful number, since it uses less digits than its factorization.

85284366348258 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32784392 (or 32784389 counting only the distinct ones).

The product of its digits is 2123366400, while the sum is 72.

The spelling of 85284366348258 in words is "eighty-five trillion, two hundred eighty-four billion, three hundred sixty-six million, three hundred forty-eight thousand, two hundred fifty-eight".