4648384838464 has 56 divisors (see below), whose sum is σ = 9425907691200. Its totient is φ = 2273896725504.

The previous prime is 4648384838459. The next prime is 4648384838491.

4648384838464 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 4648384838393 and 4648384838402.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3700789 + ... + 4795060.

It is an arithmetic number, because the mean of its divisors is an integer number (168319780200).

Almost surely, 2^{4648384838464} is an apocalyptic number.

It is an amenable number.

4648384838464 is an abundant number, since it is smaller than the sum of its proper divisors (4777522852736).

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

4648384838464 is a wasteful number, since it uses less digits than its factorization.

4648384838464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8496047 (or 8496037 counting only the distinct ones).

The product of its digits is 1358954496, while the sum is 70.

The spelling of 4648384838464 in words is "four trillion, six hundred forty-eight billion, three hundred eighty-four million, eight hundred thirty-eight thousand, four hundred sixty-four".