4859541648 has 320 divisors, whose sum is σ = 15714549760. Its totient is φ = 1427673600.

The previous prime is 4859541611. The next prime is 4859541689. The reversal of 4859541648 is 8461459584.

4859541648 is a `hidden beast` number, since 4 + 8 + 59 + 541 + 6 + 48 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 4859541594 and 4859541603.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 17931753 + ... + 17932023.

It is an arithmetic number, because the mean of its divisors is an integer number (49107968).

Almost surely, 2^4859541648 is an apocalyptic number.

4859541648 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 4859541648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7857274880).

4859541648 is an abundant number, since it is smaller than the sum of its proper divisors (10855008112).

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

4859541648 is a wasteful number, since it uses less digits than its factorization.

4859541648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 435 (or 423 counting only the distinct ones).

The product of its digits is 5529600, while the sum is 54.

The square root of 4859541648 is about 69710.4127659563. The cubic root of 4859541648 is about 1693.8116002197.

The spelling of 4859541648 in words is "four billion, eight hundred fifty-nine million, five hundred forty-one thousand, six hundred forty-eight".