221373303347161 has 9 divisors (see below), whose sum is σ = 257516004639999. Its totient is φ = 189748456454424.

The previous prime is 221373303347159. The next prime is 221373303347167. The reversal of 221373303347161 is 161743303373122.

The square root of 221373303347161 is 14878619.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 179312319470025 + 42060983877136 = 13390755^2 + 6485444^2 .

It is not a de Polignac number, because 221373303347161 - 2¹ = 221373303347159 is a prime.

It is a super-2 number, since 2×221373303347161² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (221373303347167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 103087575 + ... + 105213091.

Almost surely, 2^{221373303347161} is an apocalyptic number.

221373303347161 is the 14878619-th square number.

221373303347161 is the 7439310-th centered octagonal number.

It is an amenable number.

221373303347161 is a deficient number, since it is larger than the sum of its proper divisors (36142701292838).

221373303347161 is an frugal number, since it uses more digits than its factorization.

221373303347161 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4251048 (or 2125524 counting only the distinct ones).

The product of its (nonzero) digits is 1143072, while the sum is 46.

The spelling of 221373303347161 in words is "two hundred twenty-one trillion, three hundred seventy-three billion, three hundred three million, three hundred forty-seven thousand, one hundred sixty-one".