19009966241764 has 9 divisors (see below), whose sum is σ = 33267456183241. Its totient is φ = 9504978760840.

The previous prime is 19009966241723. The next prime is 19009966241891. The reversal of 19009966241764 is 46714266990091.

The square root of 19009966241764 is 4360042.

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., 13231711801764 + 5778254440000 = 3637542^2 + 2403800^2 .

It is a super-2 number, since 2×19009966241764² (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 = 19009966241696 and 19009966241705.

It is an unprimeable number.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 7630074 + ... + 9810094.

Almost surely, 2^{19009966241764} is an apocalyptic number.

19009966241764 is the 4360042-nd square number.

It is an amenable number.

19009966241764 is a deficient number, since it is larger than the sum of its proper divisors (14257489941477).

19009966241764 is an frugal number, since it uses more digits than its factorization.

19009966241764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4360046 (or 2180023 counting only the distinct ones).

The product of its (nonzero) digits is 35271936, while the sum is 64.

The spelling of 19009966241764 in words is "nineteen trillion, nine billion, nine hundred sixty-six million, two hundred forty-one thousand, seven hundred sixty-four".