19227181384161 has 105 divisors (see below), whose sum is σ = 30236413691361. Its totient is φ = 12220873821288.

The previous prime is 19227181384141. The next prime is 19227181384171. The reversal of 19227181384161 is 16148318172291.

The square root of 19227181384161 is 4384881.

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

19227181384161 is a `hidden beast` number, since 1 + 9 + 2 + 27 + 1 + 81 + 384 + 161 = 666.

It is not a de Polignac number, because 19227181384161 - 2²⁹ = 19226644513249 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 19227181384098 and 19227181384107.

It is not an unprimeable number, because it can be changed into a prime (19227181384141) by changing a digit.

It is a polite number, since it can be written in 104 ways as a sum of consecutive naturals, for example, 62629255170 + ... + 62629255476.

Almost surely, 2^{19227181384161} is an apocalyptic number.

19227181384161 is the 4384881-st square number.

19227181384161 is the 2192441-st centered octagonal number.

It is an amenable number.

19227181384161 is a deficient number, since it is larger than the sum of its proper divisors (11009232307200).

19227181384161 is an frugal number, since it uses more digits than its factorization.

19227181384161 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 724 (or 333 counting only the distinct ones).

The product of its digits is 1161216, while the sum is 54.

The spelling of 19227181384161 in words is "nineteen trillion, two hundred twenty-seven billion, one hundred eighty-one million, three hundred eighty-four thousand, one hundred sixty-one".