11321664256 has 144 divisors (see below), whose sum is σ = 27822993408. Its totient is φ = 4490956800.

The previous prime is 11321664253. The next prime is 11321664383. The reversal of 11321664256 is 65246612311.

It is not an unprimeable number, because it can be changed into a prime (11321664251) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1273266 + ... + 1282126.

It is an arithmetic number, because the mean of its divisors is an integer number (193215232).

Almost surely, 2^11321664256 is an apocalyptic number.

11321664256 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 11321664256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13911496704).

11321664256 is an abundant number, since it is smaller than the sum of its proper divisors (16501329152).

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

11321664256 is an equidigital number, since it uses as much as digits as its factorization.

11321664256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8938 (or 8924 counting only the distinct ones).

The product of its digits is 51840, while the sum is 37.

The spelling of 11321664256 in words is "eleven billion, three hundred twenty-one million, six hundred sixty-four thousand, two hundred fifty-six".