11264619784 has 64 divisors (see below), whose sum is σ = 23784425280. Its totient is φ = 4957056000.

The previous prime is 11264619763. The next prime is 11264619787. The reversal of 11264619784 is 48791646211.

11264619784 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 (11264619787) 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 15 ways as a sum of consecutive naturals, for example, 460732 + ... + 484564.

It is an arithmetic number, because the mean of its divisors is an integer number (371631645).

Almost surely, 2^11264619784 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11264619784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11892212640).

11264619784 is an abundant number, since it is smaller than the sum of its proper divisors (12519805496).

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

11264619784 is a wasteful number, since it uses less digits than its factorization.

11264619784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24022 (or 24018 counting only the distinct ones).

The product of its digits is 580608, while the sum is 49.

The spelling of 11264619784 in words is "eleven billion, two hundred sixty-four million, six hundred nineteen thousand, seven hundred eighty-four".