11241768384 has 280 divisors, whose sum is σ = 41548434048. Its totient is φ = 2919836160.

The previous prime is 11241768383. The next prime is 11241768403. The reversal of 11241768384 is 48386714211.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11241768383) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 385087 + ... + 413249.

Almost surely, 2^11241768384 is an apocalyptic number.

11241768384 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 11241768384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20774217024).

11241768384 is an abundant number, since it is smaller than the sum of its proper divisors (30306665664).

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

11241768384 is a wasteful number, since it uses less digits than its factorization.

11241768384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28205 (or 28186 counting only the distinct ones).

The product of its digits is 258048, while the sum is 45.

The spelling of 11241768384 in words is "eleven billion, two hundred forty-one million, seven hundred sixty-eight thousand, three hundred eighty-four".