11124013824 has 360 divisors, whose sum is σ = 41360487168. Its totient is φ = 2888939520.

The previous prime is 11124013799. The next prime is 11124013837. The reversal of 11124013824 is 42831042111.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1593189 + ... + 1600155.

Almost surely, 2^11124013824 is an apocalyptic number.

11124013824 is a gapful number since it is divisible by the number (14) 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 11124013824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20680243584).

11124013824 is an abundant number, since it is smaller than the sum of its proper divisors (30236473344).

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

11124013824 is an equidigital number, since it uses as much as digits as its factorization.

11124013824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7013 (or 6990 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

Adding to 11124013824 its reverse (42831042111), we get a palindrome (53955055935).

The spelling of 11124013824 in words is "eleven billion, one hundred twenty-four million, thirteen thousand, eight hundred twenty-four".