4889648332800 has 3456 divisors, whose sum is σ = 23604742324800. Its totient is φ = 980995276800.

The previous prime is 4889648332711. The next prime is 4889648332801. The reversal of 4889648332800 is 82338469884.

4889648332800 is a `hidden beast` number, since 48 + 8 + 9 + 6 + 483 + 32 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (4889648332801) by changing a digit.

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 215 ways as a sum of consecutive naturals, for example, 168608563186 + ... + 168608563214.

Almost surely, 2^{4889648332800} is an apocalyptic number.

4889648332800 is a gapful number since it is divisible by the number (40) 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 4889648332800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11802371162400).

4889648332800 is an abundant number, since it is smaller than the sum of its proper divisors (18715093992000).

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

4889648332800 is an equidigital number, since it uses as much as digits as its factorization.

4889648332800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 63700992, while the sum is 63.

The spelling of 4889648332800 in words is "four trillion, eight hundred eighty-nine billion, six hundred forty-eight million, three hundred thirty-two thousand, eight hundred".