3221816854041 has 12 divisors (see below), whose sum is σ = 4927484600532. Its totient is φ = 2021532143616.

The previous prime is 3221816854021. The next prime is 3221816854099. The reversal of 3221816854041 is 1404586181223.

3221816854041 is a `hidden beast` number, since 3 + 2 + 2 + 1 + 8 + 1 + 68 + 540 + 41 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1500144838416 + 1721672015625 = 1224804^2 + 1312125^2 .

It is not a de Polignac number, because 3221816854041 - 2²⁶ = 3221749745177 is a prime.

It is a super-4 number, since 4×3221816854041⁴ (a number of 51 digits) contains 4444 as substring.

It is not an unprimeable number, because it can be changed into a prime (3221816854021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10528813096 + ... + 10528813401.

It is an arithmetic number, because the mean of its divisors is an integer number (410623716711).

Almost surely, 2^{3221816854041} is an apocalyptic number.

It is an amenable number.

3221816854041 is a deficient number, since it is larger than the sum of its proper divisors (1705667746491).

3221816854041 is a wasteful number, since it uses less digits than its factorization.

3221816854041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21057626520 (or 21057626517 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 3221816854041 in words is "three trillion, two hundred twenty-one billion, eight hundred sixteen million, eight hundred fifty-four thousand, forty-one".