11467824256 has 64 divisors (see below), whose sum is σ = 26283000960. Its totient is φ = 4882176000.

The previous prime is 11467824239. The next prime is 11467824299. The reversal of 11467824256 is 65242876411.

It is a tau number, because it is divible by the number of its divisors (64).

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 7 ways as a sum of consecutive naturals, for example, 92916 + ... + 177676.

It is an arithmetic number, because the mean of its divisors is an integer number (410671890).

Almost surely, 2^11467824256 is an apocalyptic number.

11467824256 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 11467824256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13141500480).

11467824256 is an abundant number, since it is smaller than the sum of its proper divisors (14815176704).

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

11467824256 is an equidigital number, since it uses as much as digits as its factorization.

11467824256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84933 (or 84921 counting only the distinct ones).

The product of its digits is 645120, while the sum is 46.

The spelling of 11467824256 in words is "eleven billion, four hundred sixty-seven million, eight hundred twenty-four thousand, two hundred fifty-six".