11531442384 has 240 divisors, whose sum is σ = 40919523840. Its totient is φ = 2944247040.

The previous prime is 11531442371. The next prime is 11531442401. The reversal of 11531442384 is 48324413511.

11531442384 is a `hidden beast` number, since 1 + 1 + 531 + 4 + 42 + 3 + 84 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 645379 + ... + 663005.

It is an arithmetic number, because the mean of its divisors is an integer number (170498016).

Almost surely, 2^11531442384 is an apocalyptic number.

11531442384 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 11531442384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20459761920).

11531442384 is an abundant number, since it is smaller than the sum of its proper divisors (29388081456).

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

11531442384 is a wasteful number, since it uses less digits than its factorization.

11531442384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17718 (or 17709 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

Adding to 11531442384 its reverse (48324413511), we get a palindrome (59855855895).

The spelling of 11531442384 in words is "eleven billion, five hundred thirty-one million, four hundred forty-two thousand, three hundred eighty-four".