11710312845768 has 160 divisors (see below), whose sum is σ = 34807523873760. Its totient is φ = 3665529054720.

The previous prime is 11710312845767. The next prime is 11710312845839. The reversal of 11710312845768 is 86754821301711.

It is a happy number.

11710312845768 is a `hidden beast` number, since 1 + 1 + 7 + 1 + 0 + 3 + 128 + 457 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (11710312845767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3680283 + ... + 6079893.

It is an arithmetic number, because the mean of its divisors is an integer number (217547024211).

Almost surely, 2^{11710312845768} is an apocalyptic number.

11710312845768 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 11710312845768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17403761936880).

11710312845768 is an abundant number, since it is smaller than the sum of its proper divisors (23097211027992).

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

11710312845768 is a wasteful number, since it uses less digits than its factorization.

11710312845768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2400089 (or 2400076 counting only the distinct ones).

The product of its (nonzero) digits is 2257920, while the sum is 54.

The spelling of 11710312845768 in words is "eleven trillion, seven hundred ten billion, three hundred twelve million, eight hundred forty-five thousand, seven hundred sixty-eight".