19329618961 has 9 divisors (see below), whose sum is σ = 19818416379. Its totient is φ = 18852603600.

The previous prime is 19329618947. The next prime is 19329618977. The reversal of 19329618961 is 16981692391.

The square root of 19329618961 is 139031.

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., 931409361 + 18398209600 = 30519^2 + 135640^2 .

It is not a de Polignac number, because 19329618961 - 2¹⁷ = 19329487889 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (19329618941) 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, 5698576 + ... + 5701966.

Almost surely, 2^19329618961 is an apocalyptic number.

19329618961 is the 139031-st square number.

19329618961 is the 69516-th centered octagonal number.

It is an amenable number.

19329618961 is a deficient number, since it is larger than the sum of its proper divisors (488797418).

19329618961 is an frugal number, since it uses more digits than its factorization.

19329618961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6864 (or 3432 counting only the distinct ones).

The product of its digits is 1259712, while the sum is 55.

The spelling of 19329618961 in words is "nineteen billion, three hundred twenty-nine million, six hundred eighteen thousand, nine hundred sixty-one".