11264283912 has 512 divisors, whose sum is σ = 37797580800. Its totient is φ = 2720563200.

The previous prime is 11264283911. The next prime is 11264283917. The reversal of 11264283912 is 21938246211.

11264283912 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (11264283911) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 135714223 + ... + 135714305.

It is an arithmetic number, because the mean of its divisors is an integer number (73823400).

Almost surely, 2^11264283912 is an apocalyptic number.

11264283912 is a gapful number since it is divisible by the number (12) 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 11264283912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18898790400).

11264283912 is an abundant number, since it is smaller than the sum of its proper divisors (26533296888).

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

11264283912 is a wasteful number, since it uses less digits than its factorization.

11264283912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237 (or 233 counting only the distinct ones).

The product of its digits is 41472, while the sum is 39.

The spelling of 11264283912 in words is "eleven billion, two hundred sixty-four million, two hundred eighty-three thousand, nine hundred twelve".