19141823768769 has 81 divisors (see below), whose sum is σ = 31809357080553. Its totient is φ = 11084987107584.

The previous prime is 19141823768741. The next prime is 19141823768827. The reversal of 19141823768769 is 96786732814191.

The square root of 19141823768769 is 4375137.

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

19141823768769 is a `hidden beast` number, since 1 + 9 + 1 + 4 + 182 + 376 + 8 + 76 + 9 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 172837253169 + 18968986515600 = 415737^2 + 4355340^2 .

It is not a de Polignac number, because 19141823768769 - 2²⁷ = 19141689551041 is a prime.

It is a super-2 number, since 2×19141823768769² (a number of 27 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 19141823768697 and 19141823768706.

It is not an unprimeable number, because it can be changed into a prime (19141823768729) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 2900712532 + ... + 2900719130.

Almost surely, 2^{19141823768769} is an apocalyptic number.

19141823768769 is the 4375137-th square number.

19141823768769 is the 2187569-th centered octagonal number.

It is an amenable number.

19141823768769 is a deficient number, since it is larger than the sum of its proper divisors (12667533311784).

19141823768769 is an frugal number, since it uses more digits than its factorization.

19141823768769 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13264 (or 6632 counting only the distinct ones).

The product of its digits is 219469824, while the sum is 72.

The spelling of 19141823768769 in words is "nineteen trillion, one hundred forty-one billion, eight hundred twenty-three million, seven hundred sixty-eight thousand, seven hundred sixty-nine".