11441664000 has 624 divisors, whose sum is σ = 44651303424. Its totient is φ = 2801664000.

The previous prime is 11441663971. The next prime is 11441664007. The reversal of 11441664000 is 46614411.

11441664000 is a `hidden beast` number, since 1 + 1 + 4 + 4 + 16 + 640 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (624).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11441664007) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 59903905 + ... + 59904095.

It is an arithmetic number, because the mean of its divisors is an integer number (71556576).

Almost surely, 2^11441664000 is an apocalyptic number.

11441664000 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 11441664000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22325651712).

11441664000 is an abundant number, since it is smaller than the sum of its proper divisors (33209639424).

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

11441664000 is a wasteful number, since it uses less digits than its factorization.

11441664000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The spelling of 11441664000 in words is "eleven billion, four hundred forty-one million, six hundred sixty-four thousand".