19043509748769 has 81 divisors (see below), whose sum is σ = 30422783027091. Its totient is φ = 11470389701760.

The previous prime is 19043509748749. The next prime is 19043509748803. The reversal of 19043509748769 is 96784790534091.

The square root of 19043509748769 is 4363887.

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

19043509748769 is a `hidden beast` number, since 1 + 9 + 0 + 4 + 3 + 50 + 97 + 487 + 6 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 11709639144225 + 7333870604544 = 3421935^2 + 2708112^2 .

It is not a de Polignac number, because 19043509748769 - 2²¹ = 19043507651617 is a prime.

It is a super-2 number, since 2×19043509748769² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 19043509748697 and 19043509748706.

It is not an unprimeable number, because it can be changed into a prime (19043509748749) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 32113844137 + ... + 32113844729.

Almost surely, 2^{19043509748769} is an apocalyptic number.

19043509748769 is the 4363887-th square number.

19043509748769 is the 2181944-th centered octagonal number.

It is an amenable number.

19043509748769 is a deficient number, since it is larger than the sum of its proper divisors (11379273278322).

19043509748769 is an frugal number, since it uses more digits than its factorization.

19043509748769 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1660 (or 830 counting only the distinct ones).

The product of its (nonzero) digits is 411505920, while the sum is 72.

The spelling of 19043509748769 in words is "nineteen trillion, forty-three billion, five hundred nine million, seven hundred forty-eight thousand, seven hundred sixty-nine".