11264921856 has 288 divisors, whose sum is σ = 36209868800. Its totient is φ = 3441346560.

The previous prime is 11264921747. The next prime is 11264921869. The reversal of 11264921856 is 65812946211.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 4069785 + ... + 4072551.

Almost surely, 2^11264921856 is an apocalyptic number.

11264921856 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 11264921856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18104934400).

11264921856 is an abundant number, since it is smaller than the sum of its proper divisors (24944946944).

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

11264921856 is a wasteful number, since it uses less digits than its factorization.

11264921856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2842 (or 2822 counting only the distinct ones).

The product of its digits is 207360, while the sum is 45.

The spelling of 11264921856 in words is "eleven billion, two hundred sixty-four million, nine hundred twenty-one thousand, eight hundred fifty-six".