4856967599616 has 1440 divisors, whose sum is σ = 17383442076000. Its totient is φ = 1296315187200.

The previous prime is 4856967599593. The next prime is 4856967599623. The reversal of 4856967599616 is 6169957696584.

4856967599616 is a `hidden beast` number, since 4 + 8 + 5 + 6 + 9 + 6 + 7 + 599 + 6 + 16 = 666.

It is a congruent number.

It is an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 26834075046 + ... + 26834075226.

It is an arithmetic number, because the mean of its divisors is an integer number (12071834775).

Almost surely, 2^{4856967599616} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4856967599616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8691721038000).

4856967599616 is an abundant number, since it is smaller than the sum of its proper divisors (12526474476384).

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

4856967599616 is a wasteful number, since it uses less digits than its factorization.

4856967599616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 412 (or 382 counting only the distinct ones).

The product of its digits is 5290790400, while the sum is 81.

The spelling of 4856967599616 in words is "four trillion, eight hundred fifty-six billion, nine hundred sixty-seven million, five hundred ninety-nine thousand, six hundred sixteen".