11352244225311 has 24 divisors (see below), whose sum is σ = 17911526467536. Its totient is φ = 6871247389440.

The previous prime is 11352244225303. The next prime is 11352244225339.

11352244225311 is a `hidden beast` number, since 1 + 1 + 3 + 5 + 224 + 422 + 5 + 3 + 1 + 1 = 666.

11352244225311 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 11352244225311 - 2³ = 11352244225303 is a prime.

It is a super-2 number, since 2×11352244225311² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11352244225351) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 74094970 + ... + 74248023.

It is an arithmetic number, because the mean of its divisors is an integer number (746313602814).

Almost surely, 2^{11352244225311} is an apocalyptic number.

11352244225311 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11352244225311 is a deficient number, since it is larger than the sum of its proper divisors (6559282242225).

11352244225311 is a wasteful number, since it uses less digits than its factorization.

11352244225311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148343783 (or 148343780 counting only the distinct ones).

The product of its digits is 57600, while the sum is 36.

The spelling of 11352244225311 in words is "eleven trillion, three hundred fifty-two billion, two hundred forty-four million, two hundred twenty-five thousand, three hundred eleven".