11311109895168 has 132 divisors (see below), whose sum is σ = 32803213115140. Its totient is φ = 3753904766976.

The previous prime is 11311109895167. The next prime is 11311109895199. The reversal of 11311109895168 is 86159890111311.

11311109895168 is a `hidden beast` number, since 1 + 1 + 3 + 1 + 110 + 9 + 8 + 9 + 516 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 8603005215744 + 2708104679424 = 2933088^2 + 1645632^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11311109895167) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 569305 + ... + 4790232.

Almost surely, 2^{11311109895168} is an apocalyptic number.

11311109895168 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 11311109895168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16401606557570).

11311109895168 is an abundant number, since it is smaller than the sum of its proper divisors (21492103219972).

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

11311109895168 is a wasteful number, since it uses less digits than its factorization.

11311109895168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5359792 (or 5359771 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 54.

The spelling of 11311109895168 in words is "eleven trillion, three hundred eleven billion, one hundred nine million, eight hundred ninety-five thousand, one hundred sixty-eight".