11316066129 has 27 divisors (see below), whose sum is σ = 16654877499. Its totient is φ = 7403839200.

The previous prime is 11316066107. The next prime is 11316066143. The reversal of 11316066129 is 92166061311.

The square root of 11316066129 is 106377.

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

11316066129 is a `hidden beast` number, since 1 + 1 + 31 + 6 + 0 + 6 + 612 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 9511515729 + 1804550400 = 97527^2 + 42480^2 .

It is not a de Polignac number, because 11316066129 - 2⁹ = 11316065617 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 11316066093 and 11316066102.

It is not an unprimeable number, because it can be changed into a prime (11316086129) 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, 18828429 + ... + 18829029.

Almost surely, 2^11316066129 is an apocalyptic number.

11316066129 is the 106377-th square number.

11316066129 is the 53189-th centered octagonal number.

It is an amenable number.

11316066129 is a deficient number, since it is larger than the sum of its proper divisors (5338811370).

11316066129 is an frugal number, since it uses more digits than its factorization.

11316066129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1326 (or 663 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

Multiplying 11316066129 by its sum of digits (36), we get a square (407378380644 = 638262²).

Multiplying 11316066129 by its product of nonzero digits (11664), we get a square (131990595328656 = 11488716²).

The spelling of 11316066129 in words is "eleven billion, three hundred sixteen million, sixty-six thousand, one hundred twenty-nine".