11244576384 has 128 divisors (see below), whose sum is σ = 33238128000. Its totient is φ = 3742433280.

The previous prime is 11244576383. The next prime is 11244576397. The reversal of 11244576384 is 48367544211.

11244576384 is a `hidden beast` number, since 1 + 1 + 2 + 4 + 4 + 5 + 7 + 638 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×11244576384² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11244576383) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2655549 + ... + 2659779.

It is an arithmetic number, because the mean of its divisors is an integer number (259672875).

Almost surely, 2^11244576384 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 11244576384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16619064000).

11244576384 is an abundant number, since it is smaller than the sum of its proper divisors (21993551616).

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

11244576384 is an equidigital number, since it uses as much as digits as its factorization.

11244576384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5023 (or 5005 counting only the distinct ones).

The product of its digits is 645120, while the sum is 45.

The spelling of 11244576384 in words is "eleven billion, two hundred forty-four million, five hundred seventy-six thousand, three hundred eighty-four".