11219344521841 has 27 divisors (see below), whose sum is σ = 12265319484171. Its totient is φ = 10260652380048.

The previous prime is 11219344521787. The next prime is 11219344521919. The reversal of 11219344521841 is 14812544391211.

The square root of 11219344521841 is 3349529.

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., 5883152121441 + 5336192400400 = 2425521^2 + 2310020^2 .

It is not a de Polignac number, because 11219344521841 - 2¹³ = 11219344513649 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 11219344521791 and 11219344521800.

It is not an unprimeable number, because it can be changed into a prime (11219344521641) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1845587440 + ... + 1845593518.

Almost surely, 2^{11219344521841} is an apocalyptic number.

11219344521841 is the 3349529-th square number.

11219344521841 is the 1674765-th centered octagonal number.

It is an amenable number.

11219344521841 is a deficient number, since it is larger than the sum of its proper divisors (1045974962330).

11219344521841 is an frugal number, since it uses more digits than its factorization.

11219344521841 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12254 (or 6127 counting only the distinct ones).

The product of its digits is 276480, while the sum is 46.

The spelling of 11219344521841 in words is "eleven trillion, two hundred nineteen billion, three hundred forty-four million, five hundred twenty-one thousand, eight hundred forty-one".