11063616768 has 144 divisors (see below), whose sum is σ = 34140032640. Its totient is φ = 3527479296.

The previous prime is 11063616749. The next prime is 11063616793. The reversal of 11063616768 is 86761636011.

11063616768 is a `hidden beast` number, since 1 + 1 + 0 + 636 + 1 + 6 + 7 + 6 + 8 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 124180 + ... + 193772.

It is an arithmetic number, because the mean of its divisors is an integer number (237083560).

Almost surely, 2^11063616768 is an apocalyptic number.

11063616768 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 11063616768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17070016320).

11063616768 is an abundant number, since it is smaller than the sum of its proper divisors (23076415872).

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

11063616768 is an equidigital number, since it uses as much as digits as its factorization.

11063616768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69641 (or 69621 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 11063616768 in words is "eleven billion, sixty-three million, six hundred sixteen thousand, seven hundred sixty-eight".