11011564096 has 63 divisors (see below), whose sum is σ = 23684693931. Its totient is φ = 5077223424.

The previous prime is 11011564079. The next prime is 11011564099. The reversal of 11011564096 is 69046511011.

The square root of 11011564096 is 104936.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 3396558400 + 7615005696 = 58280^2 + 87264^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11011564099) 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 8 ways as a sum of consecutive naturals, for example, 10912840 + ... + 10913848.

Almost surely, 2^11011564096 is an apocalyptic number.

11011564096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

11011564096 is the 104936-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11011564096

11011564096 is an abundant number, since it is smaller than the sum of its proper divisors (12673129835).

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

11011564096 is an frugal number, since it uses more digits than its factorization.

11011564096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2056 (or 1024 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 34.

The spelling of 11011564096 in words is "eleven billion, eleven million, five hundred sixty-four thousand, ninety-six".