8314524821664 has 288 divisors, whose sum is σ = 25762708193040. Its totient is φ = 2532964663296.

The previous prime is 8314524821657. The next prime is 8314524821711. The reversal of 8314524821664 is 4661284254138.

8314524821664 is a `hidden beast` number, since 8 + 3 + 145 + 2 + 482 + 16 + 6 + 4 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 8307883875600 + 6640946064 = 2882340^2 + 81492^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is a self number, because there is not a number n which added to its sum of digits gives 8314524821664.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 92161282 + ... + 92251454.

Almost surely, 2^{8314524821664} 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 8314524821664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12881354096520).

8314524821664 is an abundant number, since it is smaller than the sum of its proper divisors (17448183371376).

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

8314524821664 is a wasteful number, since it uses less digits than its factorization.

8314524821664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90752 (or 90741 counting only the distinct ones).

The product of its digits is 8847360, while the sum is 54.

The spelling of 8314524821664 in words is "eight trillion, three hundred fourteen billion, five hundred twenty-four million, eight hundred twenty-one thousand, six hundred sixty-four".