11144316960 has 960 divisors, whose sum is σ = 48299328000. Its totient is φ = 2414168064.

The previous prime is 11144316949. The next prime is 11144316977. The reversal of 11144316960 is 6961344111.

11144316960 is a `hidden beast` number, since 111 + 443 + 16 + 96 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 102241386 + ... + 102241494.

It is an arithmetic number, because the mean of its divisors is an integer number (50311800).

Almost surely, 2^11144316960 is an apocalyptic number.

11144316960 is a gapful number since it is divisible by the number (10) 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 11144316960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24149664000).

11144316960 is an abundant number, since it is smaller than the sum of its proper divisors (37155011040).

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

11144316960 is a wasteful number, since it uses less digits than its factorization.

11144316960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The spelling of 11144316960 in words is "eleven billion, one hundred forty-four million, three hundred sixteen thousand, nine hundred sixty".