11355244255311 has 16 divisors (see below), whose sum is σ = 16516923010560. Its totient is φ = 6881881176320.

The previous prime is 11355244255249. The next prime is 11355244255331.

11355244255311 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 11355244255311 - 2¹⁹ = 11355243731023 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11355244255331) 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 15 ways as a sum of consecutive naturals, for example, 638746 + ... + 4808168.

It is an arithmetic number, because the mean of its divisors is an integer number (1032307688160).

Almost surely, 2^{11355244255311} is an apocalyptic number.

11355244255311 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11355244255311 is a deficient number, since it is larger than the sum of its proper divisors (5161678755249).

11355244255311 is a wasteful number, since it uses less digits than its factorization.

11355244255311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4251966.

The product of its digits is 360000, while the sum is 42.

The spelling of 11355244255311 in words is "eleven trillion, three hundred fifty-five billion, two hundred forty-four million, two hundred fifty-five thousand, three hundred eleven".