19182026113441 has 27 divisors (see below), whose sum is σ = 20249532903411. Its totient is φ = 18169288237584.

The previous prime is 19182026113417. The next prime is 19182026113447. The reversal of 19182026113441 is 14431162028191.

The square root of 19182026113441 is 4379729.

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., 13369780173841 + 5812245939600 = 3656471^2 + 2410860^2 .

It is not a de Polignac number, because 19182026113441 - 2⁹ = 19182026112929 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (19182026113447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 10979979730 + ... + 10979981476.

Almost surely, 2^{19182026113441} is an apocalyptic number.

19182026113441 is the 4379729-th square number.

19182026113441 is the 2189865-th centered octagonal number.

It is an amenable number.

19182026113441 is a deficient number, since it is larger than the sum of its proper divisors (1067506789970).

19182026113441 is an frugal number, since it uses more digits than its factorization.

19182026113441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3758 (or 1879 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 43.

The spelling of 19182026113441 in words is "nineteen trillion, one hundred eighty-two billion, twenty-six million, one hundred thirteen thousand, four hundred forty-one".