11164466120929 has 27 divisors (see below), whose sum is σ = 12414756763129. Its totient is φ = 10032534797120.

The previous prime is 11164466120923. The next prime is 11164466120939. The reversal of 11164466120929 is 92902166446111.

The square root of 11164466120929 is 3341327.

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

It can be written as a sum of positive squares in 4 ways, for example, as 500662380625 + 10663803740304 = 707575^2 + 3265548^2 .

It is not a de Polignac number, because 11164466120929 - 2³ = 11164466120921 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11164466120921) 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, 3271157427 + ... + 3271160839.

Almost surely, 2^{11164466120929} is an apocalyptic number.

11164466120929 is the 3341327-th square number.

11164466120929 is the 1670664-th centered octagonal number.

It is an amenable number.

11164466120929 is a deficient number, since it is larger than the sum of its proper divisors (1250290642200).

11164466120929 is an frugal number, since it uses more digits than its factorization.

11164466120929 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7026 (or 3513 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 52.

The spelling of 11164466120929 in words is "eleven trillion, one hundred sixty-four billion, four hundred sixty-six million, one hundred twenty thousand, nine hundred twenty-nine".