11841816384 has 280 divisors, whose sum is σ = 36578377440. Its totient is φ = 3783435264.

The previous prime is 11841816379. The next prime is 11841816391. The reversal of 11841816384 is 48361814811.

11841816384 is a `hidden beast` number, since 1 + 1 + 8 + 4 + 1 + 8 + 1 + 638 + 4 = 666.

It is a super-3 number, since 3×11841816384³ (a number of 31 digits) contains 333 as substring.

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

It is a congruent number.

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, 34126099 + ... + 34126445.

Almost surely, 2^11841816384 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 11841816384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18289188720).

11841816384 is an abundant number, since it is smaller than the sum of its proper divisors (24736561056).

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

11841816384 is a wasteful number, since it uses less digits than its factorization.

11841816384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 627 (or 608 counting only the distinct ones).

The product of its digits is 147456, while the sum is 45.

The spelling of 11841816384 in words is "eleven billion, eight hundred forty-one million, eight hundred sixteen thousand, three hundred eighty-four".