4307116056768 has 336 divisors, whose sum is σ = 14179904234496. Its totient is φ = 1224451676160.

The previous prime is 4307116056757. The next prime is 4307116056823. The reversal of 4307116056768 is 8676506117034.

4307116056768 is a `hidden beast` number, since 4 + 3 + 0 + 7 + 1 + 16 + 0 + 567 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1127220298 + ... + 1127224118.

It is an arithmetic number, because the mean of its divisors is an integer number (42202095936).

Almost surely, 2^{4307116056768} is an apocalyptic number.

4307116056768 is a gapful number since it is divisible by the number (48) 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 4307116056768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7089952117248).

4307116056768 is an abundant number, since it is smaller than the sum of its proper divisors (9872788177728).

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

4307116056768 is a wasteful number, since it uses less digits than its factorization.

4307116056768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5172 (or 5159 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 4307116056768 in words is "four trillion, three hundred seven billion, one hundred sixteen million, fifty-six thousand, seven hundred sixty-eight".