4881430684816 has 135 divisors (see below), whose sum is σ = 11614218003801. Its totient is φ = 1981457033472.

The previous prime is 4881430684811. The next prime is 4881430684831. The reversal of 4881430684816 is 6184860341884.

The square root of 4881430684816 is 2209396.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 58593043600 + 4822837641216 = 242060^2 + 2196096^2 .

It is not an unprimeable number, because it can be changed into a prime (4881430684811) by changing a digit.

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 26 ways as a sum of consecutive naturals, for example, 1175396596 + ... + 1175400748.

Almost surely, 2^{4881430684816} is an apocalyptic number.

4881430684816 is the 2209396-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4881430684816

4881430684816 is an abundant number, since it is smaller than the sum of its proper divisors (6732787318985).

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

4881430684816 is an frugal number, since it uses more digits than its factorization.

4881430684816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8366 (or 4181 counting only the distinct ones).

The product of its (nonzero) digits is 28311552, while the sum is 61.

The spelling of 4881430684816 in words is "four trillion, eight hundred eighty-one billion, four hundred thirty million, six hundred eighty-four thousand, eight hundred sixteen".