4221848064 has 320 divisors, whose sum is σ = 13468637952. Its totient is φ = 1150156800.

The previous prime is 4221848063. The next prime is 4221848069. The reversal of 4221848064 is 4608481224.

It is not an unprimeable number, because it can be changed into a prime (4221848063) 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 31 ways as a sum of consecutive naturals, for example, 26890674 + ... + 26890830.

Almost surely, 2^4221848064 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 4221848064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6734318976).

4221848064 is an abundant number, since it is smaller than the sum of its proper divisors (9246789888).

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

4221848064 is a wasteful number, since it uses less digits than its factorization.

4221848064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 39.

The square root of 4221848064 is about 64975.7498148348. The cubic root of 4221848064 is about 1616.2214512058.

The spelling of 4221848064 in words is "four billion, two hundred twenty-one million, eight hundred forty-eight thousand, sixty-four".