2314301568768 has 432 divisors, whose sum is σ = 7803081651456. Its totient is φ = 646040862720.

The previous prime is 2314301568767. The next prime is 2314301568823. The reversal of 2314301568768 is 8678651034132.

2314301568768 is a `hidden beast` number, since 2 + 3 + 1 + 4 + 3 + 0 + 1 + 568 + 76 + 8 = 666.

2314301568768 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2314301568763) 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, 125966623 + ... + 125984993.

It is an arithmetic number, because the mean of its divisors is an integer number (18062689008).

Almost surely, 2^{2314301568768} is an apocalyptic number.

2314301568768 is a gapful number since it is divisible by the number (28) 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 2314301568768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3901540825728).

2314301568768 is an abundant number, since it is smaller than the sum of its proper divisors (5488780082688).

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

2314301568768 is a wasteful number, since it uses less digits than its factorization.

2314301568768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18580 (or 18563 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 2314301568768 in words is "two trillion, three hundred fourteen billion, three hundred one million, five hundred sixty-eight thousand, seven hundred sixty-eight".