221193377344 has 21 divisors (see below), whose sum is σ = 438938074497. Its totient is φ = 110594807424.

The previous prime is 221193377341. The next prime is 221193377413. The reversal of 221193377344 is 443773391122.

The square root of 221193377344 is 470312.

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., 217820090944 + 3373286400 = 466712^2 + 58080^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 221193377294 and 221193377303.

It is not an unprimeable number, because it can be changed into a prime (221193377341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 3733102 + ... + 3791890.

Almost surely, 2^221193377344 is an apocalyptic number.

221193377344 is the 470312-nd square number.

It is an amenable number.

221193377344 is a deficient number, since it is larger than the sum of its proper divisors (217744697153).

221193377344 is an frugal number, since it uses more digits than its factorization.

221193377344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117590 (or 58791 counting only the distinct ones).

The product of its digits is 762048, while the sum is 46.

The spelling of 221193377344 in words is "two hundred twenty-one billion, one hundred ninety-three million, three hundred seventy-seven thousand, three hundred forty-four".