8233641579321 has 80 divisors (see below), whose sum is σ = 12796698998160. Its totient is φ = 5269505310720.

The previous prime is 8233641579307. The next prime is 8233641579323. The reversal of 8233641579321 is 1239751463328.

8233641579321 is a `hidden beast` number, since 8 + 2 + 3 + 3 + 6 + 41 + 579 + 3 + 21 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1053063863721 + 7180577715600 = 1026189^2 + 2679660^2 .

It is not a de Polignac number, because 8233641579321 - 2¹⁵ = 8233641546553 is a prime.

It is a super-2 number, since 2×8233641579321² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (8233641579323) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 369658041 + ... + 369680313.

It is an arithmetic number, because the mean of its divisors is an integer number (159958737477).

Almost surely, 2^{8233641579321} is an apocalyptic number.

8233641579321 is a gapful number since it is divisible by the number (81) formed by its first and last digit.

It is an amenable number.

8233641579321 is a deficient number, since it is larger than the sum of its proper divisors (4563057418839).

8233641579321 is a wasteful number, since it uses less digits than its factorization.

8233641579321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23208 (or 23199 counting only the distinct ones).

The product of its digits is 6531840, while the sum is 54.

The spelling of 8233641579321 in words is "eight trillion, two hundred thirty-three billion, six hundred forty-one million, five hundred seventy-nine thousand, three hundred twenty-one".