11364524219161 has 9 divisors (see below), whose sum is σ = 11424366914751. Its totient is φ = 11304993416832.

The previous prime is 11364524219137. The next prime is 11364524219183. The reversal of 11364524219161 is 16191242546311.

The square root of 11364524219161 is 3371131.

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., 2753492203225 + 8611032015936 = 1659365^2 + 2934456^2 .

It is not a de Polignac number, because 11364524219161 - 2¹⁷ = 11364524088089 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11364524219131) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 650619550 + ... + 650637016.

It is an arithmetic number, because the mean of its divisors is an integer number (1269374101639).

Almost surely, 2^{11364524219161} is an apocalyptic number.

11364524219161 is the 3371131-st square number.

11364524219161 is the 1685566-th centered octagonal number.

It is an amenable number.

11364524219161 is a deficient number, since it is larger than the sum of its proper divisors (59842695590).

11364524219161 is an frugal number, since it uses more digits than its factorization.

11364524219161 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35320 (or 17660 counting only the distinct ones).

The product of its digits is 311040, while the sum is 46.

The spelling of 11364524219161 in words is "eleven trillion, three hundred sixty-four billion, five hundred twenty-four million, two hundred nineteen thousand, one hundred sixty-one".