4681567446816 has 384 divisors, whose sum is σ = 13801942425600. Its totient is φ = 1379733626880.

The previous prime is 4681567446791. The next prime is 4681567446827. The reversal of 4681567446816 is 6186447651864.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2038121380 + ... + 2038123676.

It is an arithmetic number, because the mean of its divisors is an integer number (35942558400).

Almost surely, 2^{4681567446816} 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 4681567446816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6900971212800).

4681567446816 is an abundant number, since it is smaller than the sum of its proper divisors (9120374978784).

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

4681567446816 is a wasteful number, since it uses less digits than its factorization.

4681567446816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2872 (or 2864 counting only the distinct ones).

The product of its digits is 185794560, while the sum is 66.

The spelling of 4681567446816 in words is "four trillion, six hundred eighty-one billion, five hundred sixty-seven million, four hundred forty-six thousand, eight hundred sixteen".