11242354541 has 48 divisors (see below), whose sum is σ = 13476247344. Its totient is φ = 9335040000.

The previous prime is 11242354493. The next prime is 11242354553. The reversal of 11242354541 is 14545324211.

It can be written as a sum of positive squares in 8 ways, for example, as 3546678916 + 7695675625 = 59554^2 + 87725^2 .

It is not a de Polignac number, because 11242354541 - 2¹⁸ = 11242092397 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 11242354498 and 11242354507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11242354141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11010611 + ... + 11011631.

It is an arithmetic number, because the mean of its divisors is an integer number (280755153).

Almost surely, 2^11242354541 is an apocalyptic number.

11242354541 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11242354541 is a deficient number, since it is larger than the sum of its proper divisors (2233892803).

11242354541 is a wasteful number, since it uses less digits than its factorization.

11242354541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1214 (or 1203 counting only the distinct ones).

The product of its digits is 19200, while the sum is 32.

Adding to 11242354541 its reverse (14545324211), we get a palindrome (25787678752).

The spelling of 11242354541 in words is "eleven billion, two hundred forty-two million, three hundred fifty-four thousand, five hundred forty-one".