8164511884321 has 9 divisors (see below), whose sum is σ = 8840902204281. Its totient is φ = 7536438220272.

The previous prime is 8164511884307. The next prime is 8164511884391. The reversal of 8164511884321 is 1234881154618.

It is a happy number.

The square root of 8164511884321 is 2857361.

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 6868010834721 + 1296501049600 = 2620689^2 + 1138640^2 .

It is not a de Polignac number, because 8164511884321 - 2⁹ = 8164511883809 is a prime.

It is a super-4 number, since 4×8164511884321⁴ (a number of 53 digits) contains 4444 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (8164511884391) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 37035795 + ... + 37255591.

Almost surely, 2^{8164511884321} is an apocalyptic number.

8164511884321 is the 2857361-st square number.

8164511884321 is the 1428681-st centered octagonal number.

It is an amenable number.

8164511884321 is a deficient number, since it is larger than the sum of its proper divisors (676390319960).

8164511884321 is an frugal number, since it uses more digits than its factorization.

8164511884321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 439620 (or 219810 counting only the distinct ones).

The product of its digits is 1474560, while the sum is 52.

The spelling of 8164511884321 in words is "eight trillion, one hundred sixty-four billion, five hundred eleven million, eight hundred eighty-four thousand, three hundred twenty-one".