11138162688 has 224 divisors, whose sum is σ = 33916741920. Its totient is φ = 3609722880.

The previous prime is 11138162681. The next prime is 11138162699. The reversal of 11138162688 is 88626183111.

11138162688 is a `hidden beast` number, since 1 + 1 + 1 + 381 + 6 + 268 + 8 = 666.

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11138162681) 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 15 ways as a sum of consecutive naturals, for example, 8183128 + ... + 8184488.

Almost surely, 2^11138162688 is an apocalyptic number.

11138162688 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 11138162688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16958370960).

11138162688 is an abundant number, since it is smaller than the sum of its proper divisors (22778579232).

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

11138162688 is an equidigital number, since it uses as much as digits as its factorization.

11138162688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1433 (or 1403 counting only the distinct ones).

The product of its digits is 110592, while the sum is 45.

The spelling of 11138162688 in words is "eleven billion, one hundred thirty-eight million, one hundred sixty-two thousand, six hundred eighty-eight".