11646877864611 has 48 divisors (see below), whose sum is σ = 17363330578944. Its totient is φ = 6883870560000.

The previous prime is 11646877864603. The next prime is 11646877864649.

11646877864611 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 11646877864611 - 2³ = 11646877864603 is a prime.

It is not an unprimeable number, because it can be changed into a prime (11646877864511) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 122420961 + ... + 122516061.

It is an arithmetic number, because the mean of its divisors is an integer number (361736053728).

Almost surely, 2^{11646877864611} is an apocalyptic number.

11646877864611 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11646877864611 is a deficient number, since it is larger than the sum of its proper divisors (5716452714333).

11646877864611 is an equidigital number, since it uses as much as digits as its factorization.

11646877864611 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95724 (or 95443 counting only the distinct ones).

The product of its digits is 65028096, while the sum is 66.

The spelling of 11646877864611 in words is "eleven trillion, six hundred forty-six billion, eight hundred seventy-seven million, eight hundred sixty-four thousand, six hundred eleven".