11138982624 has 960 divisors, whose sum is σ = 44786649600. Its totient is φ = 2682408960.

The previous prime is 11138982583. The next prime is 11138982697. The reversal of 11138982624 is 42628983111.

11138982624 is a `hidden beast` number, since 1 + 1 + 1 + 389 + 8 + 262 + 4 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 11138982624.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 166253439 + ... + 166253505.

It is an arithmetic number, because the mean of its divisors is an integer number (46652760).

Almost surely, 2^11138982624 is an apocalyptic number.

11138982624 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 11138982624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22393324800).

11138982624 is an abundant number, since it is smaller than the sum of its proper divisors (33647666976).

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

11138982624 is a wasteful number, since it uses less digits than its factorization.

11138982624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 107 counting only the distinct ones).

The product of its digits is 165888, while the sum is 45.

The spelling of 11138982624 in words is "eleven billion, one hundred thirty-eight million, nine hundred eighty-two thousand, six hundred twenty-four".