11128946688 has 180 divisors, whose sum is σ = 32632786368. Its totient is φ = 3653959680.

The previous prime is 11128946687. The next prime is 11128946701. The reversal of 11128946688 is 88664982111.

It is a happy number.

11128946688 is a `hidden beast` number, since 11 + 12 + 89 + 466 + 88 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (11128946687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10468845 + ... + 10469907.

Almost surely, 2^11128946688 is an apocalyptic number.

11128946688 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 11128946688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16316393184).

11128946688 is an abundant number, since it is smaller than the sum of its proper divisors (21503839680).

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

11128946688 is an equidigital number, since it uses as much as digits as its factorization.

11128946688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1168 (or 1139 counting only the distinct ones).

The product of its digits is 1327104, while the sum is 54.

The spelling of 11128946688 in words is "eleven billion, one hundred twenty-eight million, nine hundred forty-six thousand, six hundred eighty-eight".