11263144136211 has 96 divisors (see below), whose sum is σ = 18687493656000. Its totient is φ = 6473503411200.

The previous prime is 11263144136201. The next prime is 11263144136221.

11263144136211 is a `hidden beast` number, since 1 + 1 + 2 + 6 + 3 + 14 + 4 + 13 + 621 + 1 = 666.

11263144136211 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (11263144136201) and next prime (11263144136221).

It is not a de Polignac number, because 11263144136211 - 2¹¹ = 11263144134163 is a prime.

It is not an unprimeable number, because it can be changed into a prime (11263144136201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 124122525 + ... + 124213233.

It is an arithmetic number, because the mean of its divisors is an integer number (194661392250).

Almost surely, 2^{11263144136211} is an apocalyptic number.

11263144136211 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11263144136211 is a deficient number, since it is larger than the sum of its proper divisors (7424349519789).

11263144136211 is a wasteful number, since it uses less digits than its factorization.

11263144136211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91525 (or 91522 counting only the distinct ones).

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

The spelling of 11263144136211 in words is "eleven trillion, two hundred sixty-three billion, one hundred forty-four million, one hundred thirty-six thousand, two hundred eleven".