11266466211 has 144 divisors (see below), whose sum is σ = 22977497088. Its totient is φ = 5166564480.

The previous prime is 11266466207. The next prime is 11266466221.

11266466211 is a `hidden beast` number, since 1 + 1 + 2 + 6 + 646 + 6 + 2 + 1 + 1 = 666.

11266466211 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 11266466211 - 2² = 11266466207 is a prime.

It is not an unprimeable number, because it can be changed into a prime (11266466221) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2276806 + ... + 2281748.

It is an arithmetic number, because the mean of its divisors is an integer number (159565952).

Almost surely, 2^11266466211 is an apocalyptic number.

11266466211 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11266466211 is an abundant number, since it is smaller than the sum of its proper divisors (11711030877).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11266466211 is a wasteful number, since it uses less digits than its factorization.

11266466211 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5014 (or 5000 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The spelling of 11266466211 in words is "eleven billion, two hundred sixty-six million, four hundred sixty-six thousand, two hundred eleven".