221422177716321 has 32 divisors (see below), whose sum is σ = 320164913312640. Its totient is φ = 135573652859904.

The previous prime is 221422177716307. The next prime is 221422177716353. The reversal of 221422177716321 is 123617771224122.

221422177716321 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 221422177716321 - 2¹⁹ = 221422177192033 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (221422177756321) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 44880990 + ... + 49569623.

It is an arithmetic number, because the mean of its divisors is an integer number (10005153541020).

Almost surely, 2^{221422177716321} is an apocalyptic number.

It is an amenable number.

221422177716321 is a deficient number, since it is larger than the sum of its proper divisors (98742735596319).

221422177716321 is a wasteful number, since it uses less digits than its factorization.

221422177716321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94451745.

The product of its digits is 790272, while the sum is 48.

The spelling of 221422177716321 in words is "two hundred twenty-one trillion, four hundred twenty-two billion, one hundred seventy-seven million, seven hundred sixteen thousand, three hundred twenty-one".