11838774528 has 216 divisors, whose sum is σ = 39122061888. Its totient is φ = 3372834816.

The previous prime is 11838774511. The next prime is 11838774529. The reversal of 11838774528 is 82547783811.

11838774528 is a `hidden beast` number, since 1 + 18 + 38 + 7 + 74 + 528 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11838774529) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7143876 + ... + 7145532.

Almost surely, 2^11838774528 is an apocalyptic number.

11838774528 is a gapful number since it is divisible by the number (18) 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 11838774528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19561030944).

11838774528 is an abundant number, since it is smaller than the sum of its proper divisors (27283287360).

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

11838774528 is a wasteful number, since it uses less digits than its factorization.

11838774528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2129 (or 2112 counting only the distinct ones).

The product of its digits is 3010560, while the sum is 54.

The spelling of 11838774528 in words is "eleven billion, eight hundred thirty-eight million, seven hundred seventy-four thousand, five hundred twenty-eight".