4648338464 has 96 divisors (see below), whose sum is σ = 11439211392. Its totient is φ = 1806336000.

The previous prime is 4648338451. The next prime is 4648338473.

4648338464 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1035104 + ... + 1039584.

It is an arithmetic number, because the mean of its divisors is an integer number (119158452).

Almost surely, 2^4648338464 is an apocalyptic number.

4648338464 is a gapful number since it is divisible by the number (44) 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 4648338464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5719605696).

4648338464 is an abundant number, since it is smaller than the sum of its proper divisors (6790872928).

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

4648338464 is a wasteful number, since it uses less digits than its factorization.

4648338464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4930 (or 4922 counting only the distinct ones).

The product of its digits is 5308416, while the sum is 50.

The square root of 4648338464 is about 68178.7244233859. The cubic root of 4648338464 is about 1668.9087093854.

The spelling of 4648338464 in words is "four billion, six hundred forty-eight million, three hundred thirty-eight thousand, four hundred sixty-four".