11001663648 has 144 divisors (see below), whose sum is σ = 33564192480. Its totient is φ = 3540692736.

The previous prime is 11001663643. The next prime is 11001663667. The reversal of 11001663648 is 84636610011.

11001663648 is a `hidden beast` number, since 1 + 1 + 0 + 0 + 1 + 6 + 6 + 3 + 648 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is not an unprimeable number, because it can be changed into a prime (11001663641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 201111 + ... + 249897.

It is an arithmetic number, because the mean of its divisors is an integer number (233084670).

Almost surely, 2^11001663648 is an apocalyptic number.

11001663648 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 11001663648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16782096240).

11001663648 is an abundant number, since it is smaller than the sum of its proper divisors (22562528832).

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

11001663648 is an equidigital number, since it uses as much as digits as its factorization.

11001663648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48841 (or 48821 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 11001663648 in words is "eleven billion, one million, six hundred sixty-three thousand, six hundred forty-eight".