8229081681 has 40 divisors (see below), whose sum is σ = 12706205160. Its totient is φ = 5303480832.

The previous prime is 8229081677. The next prime is 8229081709. The reversal of 8229081681 is 1861809228.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 153363456 + 8075718225 = 12384^2 + 89865^2 .

It is not a de Polignac number, because 8229081681 - 2² = 8229081677 is a prime.

It is a super-2 number, since 2×8229081681² (a number of 21 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (8229081181) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 461785 + ... + 479273.

It is an arithmetic number, because the mean of its divisors is an integer number (317655129).

Almost surely, 2^8229081681 is an apocalyptic number.

8229081681 is a gapful number since it is divisible by the number (81) formed by its first and last digit.

It is an amenable number.

8229081681 is a deficient number, since it is larger than the sum of its proper divisors (4477123479).

8229081681 is a wasteful number, since it uses less digits than its factorization.

8229081681 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17695 (or 17686 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 45.

The square root of 8229081681 is about 90714.2859807649. The cubic root of 8229081681 is about 2018.9107679433.

The spelling of 8229081681 in words is "eight billion, two hundred twenty-nine million, eighty-one thousand, six hundred eighty-one".