4886447127744 has 448 divisors, whose sum is σ = 16758543836160. Its totient is φ = 1220265492480.

The previous prime is 4886447127707. The next prime is 4886447127811. The reversal of 4886447127744 is 4477217446884.

It is a tau number, because it is divible by the number of its divisors (448).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1148939122 + ... + 1148943374.

It is an arithmetic number, because the mean of its divisors is an integer number (37407463920).

Almost surely, 2^{4886447127744} 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 4886447127744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8379271918080).

4886447127744 is an abundant number, since it is smaller than the sum of its proper divisors (11872096708416).

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

4886447127744 is a wasteful number, since it uses less digits than its factorization.

4886447127744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7768 (or 7758 counting only the distinct ones).

The product of its digits is 269746176, while the sum is 66.

The spelling of 4886447127744 in words is "four trillion, eight hundred eighty-six billion, four hundred forty-seven million, one hundred twenty-seven thousand, seven hundred forty-four".