8231285064528 has 240 divisors, whose sum is σ = 24493081092480. Its totient is φ = 2573164164096.

The previous prime is 8231285064503. The next prime is 8231285064641. The reversal of 8231285064528 is 8254605821328.

8231285064528 is a `hidden beast` number, since 8 + 2 + 3 + 1 + 2 + 8 + 50 + 64 + 528 = 666.

It is a super-2 number, since 2×8231285064528² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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, 1502879326 + ... + 1502884802.

It is an arithmetic number, because the mean of its divisors is an integer number (102054504552).

Almost surely, 2^{8231285064528} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8231285064528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12246540546240).

8231285064528 is an abundant number, since it is smaller than the sum of its proper divisors (16261796027952).

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

8231285064528 is a wasteful number, since it uses less digits than its factorization.

8231285064528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10946 (or 10937 counting only the distinct ones).

The product of its (nonzero) digits is 7372800, while the sum is 54.

The spelling of 8231285064528 in words is "eight trillion, two hundred thirty-one billion, two hundred eighty-five million, sixty-four thousand, five hundred twenty-eight".