221152166562321 has 24 divisors (see below), whose sum is σ = 321958774824960. Its totient is φ = 146273208371136.

The previous prime is 221152166562317. The next prime is 221152166562359. The reversal of 221152166562321 is 123265661251122.

221152166562321 is a `hidden beast` number, since 2 + 2 + 1 + 1 + 5 + 2 + 1 + 66 + 562 + 3 + 21 = 666.

It is not a de Polignac number, because 221152166562321 - 2² = 221152166562317 is a prime.

It is not an unprimeable number, because it can be changed into a prime (221152166562391) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 483499296 + ... + 483956478.

It is an arithmetic number, because the mean of its divisors is an integer number (13414948951040).

Almost surely, 2^{221152166562321} is an apocalyptic number.

It is an amenable number.

221152166562321 is a deficient number, since it is larger than the sum of its proper divisors (100806608262639).

221152166562321 is a wasteful number, since it uses less digits than its factorization.

221152166562321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 880525 (or 880522 counting only the distinct ones).

The product of its digits is 518400, while the sum is 45.

The spelling of 221152166562321 in words is "two hundred twenty-one trillion, one hundred fifty-two billion, one hundred sixty-six million, five hundred sixty-two thousand, three hundred twenty-one".