2314896768000 has 528 divisors, whose sum is σ = 8781029655840. Its totient is φ = 584810496000.

The previous prime is 2314896767987. The next prime is 2314896768029. The reversal of 2314896768000 is 8676984132.

2314896768000 is a `hidden beast` number, since 23 + 1 + 489 + 67 + 6 + 80 + 0 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 21835120 + ... + 21940880.

Almost surely, 2^{2314896768000} is an apocalyptic number.

2314896768000 is a gapful number since it is divisible by the number (20) 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 2314896768000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4390514827920).

2314896768000 is an abundant number, since it is smaller than the sum of its proper divisors (6466132887840).

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

2314896768000 is a wasteful number, since it uses less digits than its factorization.

2314896768000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105821 (or 105790 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 2314896768000 in words is "two trillion, three hundred fourteen billion, eight hundred ninety-six million, seven hundred sixty-eight thousand".