11563991296 has 243 divisors, whose sum is σ = 28070825853. Its totient is φ = 4748789760.

The previous prime is 11563991293. The next prime is 11563991303. The reversal of 11563991296 is 69219936511.

It is a happy number.

The square root of 11563991296 is 107536.

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

It can be written as a sum of positive squares in only one way, i.e., 1710649600 + 9853341696 = 41360^2 + 99264^2 .

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11563991293) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 246042345 + ... + 246042391.

Almost surely, 2^11563991296 is an apocalyptic number.

11563991296 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

11563991296 is the 107536-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11563991296

11563991296 is an abundant number, since it is smaller than the sum of its proper divisors (16506834557).

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

11563991296 is an equidigital number, since it uses as much as digits as its factorization.

11563991296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 73 counting only the distinct ones).

The product of its digits is 787320, while the sum is 52.

The spelling of 11563991296 in words is "eleven billion, five hundred sixty-three million, nine hundred ninety-one thousand, two hundred ninety-six".