11646811864611 has 64 divisors (see below), whose sum is σ = 21528663613440. Its totient is φ = 6045647116320.

The previous prime is 11646811864601. The next prime is 11646811864631.

It is a happy number.

11646811864611 is a `hidden beast` number, since 1 + 1 + 6 + 4 + 6 + 8 + 1 + 18 + 6 + 4 + 611 = 666.

11646811864611 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 11646811864611 - 2¹⁷ = 11646811733539 is a prime.

It is not an unprimeable number, because it can be changed into a prime (11646811864601) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 559236 + ... + 4858638.

It is an arithmetic number, because the mean of its divisors is an integer number (336385368960).

Almost surely, 2^{11646811864611} is an apocalyptic number.

11646811864611 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11646811864611 is a deficient number, since it is larger than the sum of its proper divisors (9881851748829).

11646811864611 is a wasteful number, since it uses less digits than its factorization.

11646811864611 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4300733 (or 4300727 counting only the distinct ones).

The product of its digits is 1327104, while the sum is 54.

The spelling of 11646811864611 in words is "eleven trillion, six hundred forty-six billion, eight hundred eleven million, eight hundred sixty-four thousand, six hundred eleven".