11845068768 has 288 divisors, whose sum is σ = 38724809760. Its totient is φ = 3404021760.

The previous prime is 11845068713. The next prime is 11845068769. The reversal of 11845068768 is 86786054811.

It is a happy number.

11845068768 is a `hidden beast` number, since 118 + 450 + 6 + 8 + 76 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11845068769) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5191788 + ... + 5194068.

It is an arithmetic number, because the mean of its divisors is an integer number (134461145).

Almost surely, 2^11845068768 is an apocalyptic number.

11845068768 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 11845068768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19362404880).

11845068768 is an abundant number, since it is smaller than the sum of its proper divisors (26879740992).

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

11845068768 is a wasteful number, since it uses less digits than its factorization.

11845068768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2402 (or 2391 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 54.

The spelling of 11845068768 in words is "eleven billion, eight hundred forty-five million, sixty-eight thousand, seven hundred sixty-eight".