11838480384 has 224 divisors, whose sum is σ = 33468503040. Its totient is φ = 3715891200.

The previous prime is 11838480361. The next prime is 11838480391. The reversal of 11838480384 is 48308483811.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31235907 + ... + 31236285.

It is an arithmetic number, because the mean of its divisors is an integer number (149412960).

Almost surely, 2^11838480384 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 11838480384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16734251520).

11838480384 is an abundant number, since it is smaller than the sum of its proper divisors (21630022656).

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

11838480384 is an equidigital number, since it uses as much as digits as its factorization.

11838480384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 480 (or 456 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 48.

The spelling of 11838480384 in words is "eleven billion, eight hundred thirty-eight million, four hundred eighty thousand, three hundred eighty-four".