221152932361 has 27 divisors (see below), whose sum is σ = 238402631271. Its totient is φ = 205120051344.

The previous prime is 221152932359. The next prime is 221152932379. The reversal of 221152932361 is 163239251122.

The square root of 221152932361 is 470269.

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., 159428511225 + 61724421136 = 399285^2 + 248444^2 .

It is not a de Polignac number, because 221152932361 - 2¹ = 221152932359 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 221152932361.

It is not an unprimeable number, because it can be changed into a prime (221152932661) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 473560650 + ... + 473561116.

Almost surely, 2^221152932361 is an apocalyptic number.

221152932361 is the 470269-th square number.

221152932361 is the 235135-th centered octagonal number.

It is an amenable number.

221152932361 is a deficient number, since it is larger than the sum of its proper divisors (17249698910).

221152932361 is an frugal number, since it uses more digits than its factorization.

221152932361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1078 (or 539 counting only the distinct ones).

The product of its digits is 38880, while the sum is 37.

The spelling of 221152932361 in words is "two hundred twenty-one billion, one hundred fifty-two million, nine hundred thirty-two thousand, three hundred sixty-one".