11241569664 has 256 divisors, whose sum is σ = 36412286400. Its totient is φ = 3392962560.

The previous prime is 11241569653. The next prime is 11241569681. The reversal of 11241569664 is 46696514211.

11241569664 is a `hidden beast` number, since 1 + 1 + 24 + 1 + 569 + 6 + 64 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2378824 + ... + 2383544.

Almost surely, 2^11241569664 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 11241569664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18206143200).

11241569664 is an abundant number, since it is smaller than the sum of its proper divisors (25170716736).

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

11241569664 is a wasteful number, since it uses less digits than its factorization.

11241569664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4810 (or 4792 counting only the distinct ones).

The product of its digits is 311040, while the sum is 45.

The spelling of 11241569664 in words is "eleven billion, two hundred forty-one million, five hundred sixty-nine thousand, six hundred sixty-four".