11163055456 has 96 divisors (see below), whose sum is σ = 25592136192. Its totient is φ = 4694215680.

The previous prime is 11163055439. The next prime is 11163055469. The reversal of 11163055456 is 65455036111.

11163055456 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×11163055456² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 4215925 + ... + 4218571.

It is an arithmetic number, because the mean of its divisors is an integer number (266584752).

Almost surely, 2^11163055456 is an apocalyptic number.

11163055456 is a gapful number since it is divisible by the number (16) 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 11163055456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12796068096).

11163055456 is an abundant number, since it is smaller than the sum of its proper divisors (14429080736).

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

11163055456 is a wasteful number, since it uses less digits than its factorization.

11163055456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3012 (or 3004 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 37.

The spelling of 11163055456 in words is "eleven billion, one hundred sixty-three million, fifty-five thousand, four hundred fifty-six".