221943521177361 has 9 divisors (see below), whose sum is σ = 320585150702089. Its totient is φ = 147962317656036.

The previous prime is 221943521177347. The next prime is 221943521177363. The reversal of 221943521177361 is 163771125349122.

The square root of 221943521177361 is 14897769.

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

221943521177361 is a `hidden beast` number, since 2 + 2 + 1 + 9 + 43 + 521 + 1 + 7 + 73 + 6 + 1 = 666.

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 221943521177361 - 2²⁷ = 221943386959633 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 221943521177298 and 221943521177307.

It is not an unprimeable number, because it can be changed into a prime (221943521177363) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 42210346 + ... + 47176268.

Almost surely, 2^{221943521177361} is an apocalyptic number.

221943521177361 is the 14897769-th square number.

221943521177361 is the 7448885-th centered octagonal number.

It is an amenable number.

221943521177361 is a deficient number, since it is larger than the sum of its proper divisors (98641629524728).

221943521177361 is an frugal number, since it uses more digits than its factorization.

221943521177361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9931852 (or 4965926 counting only the distinct ones).

The product of its digits is 3810240, while the sum is 54.

The spelling of 221943521177361 in words is "two hundred twenty-one trillion, nine hundred forty-three billion, five hundred twenty-one million, one hundred seventy-seven thousand, three hundred sixty-one".