11565505248 has 144 divisors (see below), whose sum is σ = 33487444368. Its totient is φ = 3492403200.

The previous prime is 11565505243. The next prime is 11565505249. The reversal of 11565505248 is 84250556511.

11565505248 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11565505241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3634218 + ... + 3637398.

It is an arithmetic number, because the mean of its divisors is an integer number (232551697).

Almost surely, 2^11565505248 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 11565505248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16743722184).

11565505248 is an abundant number, since it is smaller than the sum of its proper divisors (21921939120).

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

11565505248 is a wasteful number, since it uses less digits than its factorization.

11565505248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3529 (or 3510 counting only the distinct ones).

The product of its (nonzero) digits is 240000, while the sum is 42.

The spelling of 11565505248 in words is "eleven billion, five hundred sixty-five million, five hundred five thousand, two hundred forty-eight".