85016644280334 has 96 divisors (see below), whose sum is σ = 202617935170560. Its totient is φ = 25599224160576.

The previous prime is 85016644280173. The next prime is 85016644280383. The reversal of 85016644280334 is 43308244661058.

85016644280334 is a `hidden beast` number, since 8 + 5 + 0 + 166 + 442 + 8 + 0 + 3 + 34 = 666.

It is a super-3 number, since 3×85016644280334³ (a number of 43 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 89126287 + ... + 90075125.

It is an arithmetic number, because the mean of its divisors is an integer number (2110603491360).

Almost surely, 2^{85016644280334} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85016644280334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101308967585280).

85016644280334 is an abundant number, since it is smaller than the sum of its proper divisors (117601290890226).

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

85016644280334 is a wasteful number, since it uses less digits than its factorization.

85016644280334 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 957054 (or 957051 counting only the distinct ones).

The product of its (nonzero) digits is 13271040, while the sum is 54.

The spelling of 85016644280334 in words is "eighty-five trillion, sixteen billion, six hundred forty-four million, two hundred eighty thousand, three hundred thirty-four".