11042461248 has 672 divisors, whose sum is σ = 39928702464. Its totient is φ = 2658926592.

The previous prime is 11042461247. The next prime is 11042461267. The reversal of 11042461248 is 84216424011.

It is a tau number, because it is divible by the number of its divisors (672).

It is not an unprimeable number, because it can be changed into a prime (11042461247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 97720840 + ... + 97720952.

It is an arithmetic number, because the mean of its divisors is an integer number (59417712).

Almost surely, 2^11042461248 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11042461248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19964351232).

11042461248 is an abundant number, since it is smaller than the sum of its proper divisors (28886241216).

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

11042461248 is a wasteful number, since it uses less digits than its factorization.

11042461248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 33.

Adding to 11042461248 its reverse (84216424011), we get a palindrome (95258885259).

The spelling of 11042461248 in words is "eleven billion, forty-two million, four hundred sixty-one thousand, two hundred forty-eight".