221746084321 has 24 divisors (see below), whose sum is σ = 241422098400. Its totient is φ = 203511052800.

The previous prime is 221746084297. The next prime is 221746084337. The reversal of 221746084321 is 123480647122.

It is not a de Polignac number, because 221746084321 - 2³⁷ = 84307130849 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (221746084421) 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, 35200230 + ... + 35206528.

It is an arithmetic number, because the mean of its divisors is an integer number (10059254100).

Almost surely, 2^221746084321 is an apocalyptic number.

It is an amenable number.

221746084321 is a deficient number, since it is larger than the sum of its proper divisors (19676014079).

221746084321 is a wasteful number, since it uses less digits than its factorization.

221746084321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9345 (or 9328 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 40.

The spelling of 221746084321 in words is "two hundred twenty-one billion, seven hundred forty-six million, eighty-four thousand, three hundred twenty-one".