11365478881 has 27 divisors (see below), whose sum is σ = 12463424019. Its totient is φ = 10362394800.

The previous prime is 11365478833. The next prime is 11365478897. The reversal of 11365478881 is 18887456311.

The square root of 11365478881 is 106609.

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., 125238481 + 11240240400 = 11191^2 + 106020^2 .

It is not a de Polignac number, because 11365478881 - 2¹³ = 11365470689 is a prime.

It is a super-2 number, since 2×11365478881² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11365478081) 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, 62792611 + ... + 62792791.

It is an arithmetic number, because the mean of its divisors is an integer number (461608297).

Almost surely, 2^11365478881 is an apocalyptic number.

11365478881 is the 106609-th square number.

11365478881 is the 53305-th centered octagonal number.

It is an amenable number.

11365478881 is a deficient number, since it is larger than the sum of its proper divisors (1097945138).

11365478881 is an frugal number, since it uses more digits than its factorization.

11365478881 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 462 (or 231 counting only the distinct ones).

The product of its digits is 1290240, while the sum is 52.

The spelling of 11365478881 in words is "eleven billion, three hundred sixty-five million, four hundred seventy-eight thousand, eight hundred eighty-one".