82665385284474 has 96 divisors (see below), whose sum is σ = 187301725490880. Its totient is φ = 27324056073600.

The previous prime is 82665385284437. The next prime is 82665385284487. The reversal of 82665385284474 is 47448258356628.

82665385284474 is a `hidden beast` number, since 8 + 2 + 6 + 6 + 53 + 8 + 528 + 4 + 47 + 4 = 666.

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, 83611332 + ... + 84594240.

It is an arithmetic number, because the mean of its divisors is an integer number (1951059640530).

Almost surely, 2^{82665385284474} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82665385284474, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93650862745440).

82665385284474 is an abundant number, since it is smaller than the sum of its proper divisors (104636340206406).

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

82665385284474 is a wasteful number, since it uses less digits than its factorization.

82665385284474 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 984378 (or 984366 counting only the distinct ones).

The product of its digits is 2477260800, while the sum is 72.

The spelling of 82665385284474 in words is "eighty-two trillion, six hundred sixty-five billion, three hundred eighty-five million, two hundred eighty-four thousand, four hundred seventy-four".