11563104016 has 40 divisors (see below), whose sum is σ = 22527805400. Its totient is φ = 5749539840.

The previous prime is 11563103987. The next prime is 11563104023. The reversal of 11563104016 is 61040136511.

11563104016 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 5526435600 + 6036668416 = 74340^2 + 77696^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4838950 + ... + 4841338.

It is an arithmetic number, because the mean of its divisors is an integer number (563195135).

Almost surely, 2^11563104016 is an apocalyptic number.

11563104016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

11563104016 is a deficient number, since it is larger than the sum of its proper divisors (10964701384).

11563104016 is a wasteful number, since it uses less digits than its factorization.

11563104016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3947 (or 3941 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 28.

The spelling of 11563104016 in words is "eleven billion, five hundred sixty-three million, one hundred four thousand, sixteen".