19584882081361 has 9 divisors (see below), whose sum is σ = 19627978929481. Its totient is φ = 19541879682484.

The previous prime is 19584882081343. The next prime is 19584882081367. The reversal of 19584882081361 is 16318028848591.

The square root of 19584882081361 is 4425481.

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

It is not a de Polignac number, because 19584882081361 - 2¹⁷ = 19584881950289 is a prime.

It is a super-2 number, since 2×19584882081361² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 19584882081293 and 19584882081302.

It is not an unprimeable number, because it can be changed into a prime (19584882081367) 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, 2119800780 + ... + 2119810018.

Almost surely, 2^{19584882081361} is an apocalyptic number.

19584882081361 is the 4425481-st square number.

19584882081361 is the 2212741-st centered octagonal number.

It is an amenable number.

19584882081361 is a deficient number, since it is larger than the sum of its proper divisors (43096848120).

19584882081361 is an frugal number, since it uses more digits than its factorization.

19584882081361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19436 (or 9718 counting only the distinct ones).

The product of its (nonzero) digits is 26542080, while the sum is 64.

The spelling of 19584882081361 in words is "nineteen trillion, five hundred eighty-four billion, eight hundred eighty-two million, eighty-one thousand, three hundred sixty-one".