11241011808 has 288 divisors, whose sum is σ = 35505340416. Its totient is φ = 3351849984.

The previous prime is 11241011807. The next prime is 11241011833. The reversal of 11241011808 is 80811014211.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11241011801) 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 47 ways as a sum of consecutive naturals, for example, 22347685 + ... + 22348187.

It is an arithmetic number, because the mean of its divisors is an integer number (123282432).

Almost surely, 2^11241011808 is an apocalyptic number.

11241011808 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11241011808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17752670208).

11241011808 is an abundant number, since it is smaller than the sum of its proper divisors (24264328608).

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

11241011808 is a wasteful number, since it uses less digits than its factorization.

11241011808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 706 (or 695 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 27.

The spelling of 11241011808 in words is "eleven billion, two hundred forty-one million, eleven thousand, eight hundred eight".