4887441531648 has 288 divisors, whose sum is σ = 15577239787200. Its totient is φ = 1502625890304.

The previous prime is 4887441531647. The next prime is 4887441531659. The reversal of 4887441531648 is 8461351447884.

4887441531648 is a `hidden beast` number, since 4 + 8 + 87 + 441 + 53 + 1 + 64 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (4887441531647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 115803286 + ... + 115845482.

It is an arithmetic number, because the mean of its divisors is an integer number (54087638150).

Almost surely, 2^{4887441531648} is an apocalyptic number.

4887441531648 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 4887441531648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7788619893600).

4887441531648 is an abundant number, since it is smaller than the sum of its proper divisors (10689798255552).

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

4887441531648 is a wasteful number, since it uses less digits than its factorization.

4887441531648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43524 (or 43504 counting only the distinct ones).

The product of its digits is 82575360, while the sum is 63.

The spelling of 4887441531648 in words is "four trillion, eight hundred eighty-seven billion, four hundred forty-one million, five hundred thirty-one thousand, six hundred forty-eight".