4928542875648 has 896 divisors, whose sum is σ = 17260185139200. Its totient is φ = 1360462086144.

The previous prime is 4928542875647. The next prime is 4928542875671. The reversal of 4928542875648 is 8465782458294.

It is a happy number.

4928542875648 is a `hidden beast` number, since 4 + 9 + 2 + 8 + 54 + 2 + 8 + 7 + 564 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (896).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (4928542875647) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13004070723 + ... + 13004071101.

Almost surely, 2^{4928542875648} is an apocalyptic number.

4928542875648 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 4928542875648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8630092569600).

4928542875648 is an abundant number, since it is smaller than the sum of its proper divisors (12331642263552).

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

4928542875648 is a wasteful number, since it uses less digits than its factorization.

4928542875648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 685 (or 655 counting only the distinct ones).

The product of its digits is 1238630400, while the sum is 72.

The spelling of 4928542875648 in words is "four trillion, nine hundred twenty-eight billion, five hundred forty-two million, eight hundred seventy-five thousand, six hundred forty-eight".