11128341168 has 400 divisors, whose sum is σ = 39668175360. Its totient is φ = 2939369472.

The previous prime is 11128341167. The next prime is 11128341233. The reversal of 11128341168 is 86114382111.

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

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 (11128341167) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 9098605 + ... + 9099827.

Almost surely, 2^11128341168 is an apocalyptic number.

11128341168 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 11128341168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19834087680).

11128341168 is an abundant number, since it is smaller than the sum of its proper divisors (28539834192).

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

11128341168 is a wasteful number, since it uses less digits than its factorization.

11128341168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1326 (or 1311 counting only the distinct ones).

The product of its digits is 9216, while the sum is 36.

The spelling of 11128341168 in words is "eleven billion, one hundred twenty-eight million, three hundred forty-one thousand, one hundred sixty-eight".