11031203011968 has 192 divisors, whose sum is σ = 31908532500000. Its totient is φ = 3657970188288.

The previous prime is 11031203011967. The next prime is 11031203012107. The reversal of 11031203011968 is 86911030213011.

It is a happy number.

11031203011968 is a `hidden beast` number, since 110 + 31 + 20 + 301 + 196 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11031203011963) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 329479453 + ... + 329512931.

Almost surely, 2^{11031203011968} is an apocalyptic number.

11031203011968 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 11031203011968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15954266250000).

11031203011968 is an abundant number, since it is smaller than the sum of its proper divisors (20877329488032).

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

11031203011968 is a wasteful number, since it uses less digits than its factorization.

11031203011968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34977 (or 34962 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 36.

Adding to 11031203011968 its reverse (86911030213011), we get a palindrome (97942233224979).

The spelling of 11031203011968 in words is "eleven trillion, thirty-one billion, two hundred three million, eleven thousand, nine hundred sixty-eight".