11180416626369 has 27 divisors (see below), whose sum is σ = 17155602979203. Its totient is φ = 7015056374592.

The previous prime is 11180416626361. The next prime is 11180416626383. The reversal of 11180416626369 is 96362661408111.

The square root of 11180416626369 is 3343713.

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

11180416626369 is a `hidden beast` number, since 1 + 1 + 1 + 8 + 0 + 4 + 1 + 6 + 626 + 3 + 6 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 8704476612225 + 2475940014144 = 2950335^2 + 1573512^2 .

It is not a de Polignac number, because 11180416626369 - 2³ = 11180416626361 is a prime.

It is a super-2 number, since 2×11180416626369² (a number of 27 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (11180416626361) 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, 170496582 + ... + 170562144.

Almost surely, 2^{11180416626369} is an apocalyptic number.

11180416626369 is the 3343713-rd square number.

11180416626369 is the 1671857-th centered octagonal number.

It is an amenable number.

11180416626369 is a deficient number, since it is larger than the sum of its proper divisors (5975186352834).

11180416626369 is an frugal number, since it uses more digits than its factorization.

11180416626369 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131166 (or 65583 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The spelling of 11180416626369 in words is "eleven trillion, one hundred eighty billion, four hundred sixteen million, six hundred twenty-six thousand, three hundred sixty-nine".