8282066668164 has 135 divisors (see below), whose sum is σ = 22020111976863. Its totient is φ = 2714395665600.

The previous prime is 8282066668159. The next prime is 8282066668177. The reversal of 8282066668164 is 4618666602828.

It is a happy number.

The square root of 8282066668164 is 2877858.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 514028773764 + 7768037894400 = 716958^2 + 2787120^2 .

It is a super-2 number, since 2×8282066668164² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 3159886774 + ... + 3159889394.

Almost surely, 2^{8282066668164} is an apocalyptic number.

8282066668164 is the 2877858-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8282066668164

8282066668164 is an abundant number, since it is smaller than the sum of its proper divisors (13738045308699).

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

8282066668164 is an frugal number, since it uses more digits than its factorization.

8282066668164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5380 (or 2687 counting only the distinct ones).

The product of its (nonzero) digits is 63700992, while the sum is 63.

The spelling of 8282066668164 in words is "eight trillion, two hundred eighty-two billion, sixty-six million, six hundred sixty-eight thousand, one hundred sixty-four".