4648268628464 has 40 divisors (see below), whose sum is σ = 9024094251360. Its totient is φ = 2319470899200.

The previous prime is 4648268628449. The next prime is 4648268628469.

4648268628464 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 4648268628394 and 4648268628403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4648268628469) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 153692384 + ... + 153722624.

It is an arithmetic number, because the mean of its divisors is an integer number (225602356284).

Almost surely, 2^{4648268628464} is an apocalyptic number.

It is an amenable number.

4648268628464 is a deficient number, since it is larger than the sum of its proper divisors (4375825622896).

4648268628464 is a wasteful number, since it uses less digits than its factorization.

4648268628464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49209 (or 49203 counting only the distinct ones).

The product of its digits is 679477248, while the sum is 68.

The spelling of 4648268628464 in words is "four trillion, six hundred forty-eight billion, two hundred sixty-eight million, six hundred twenty-eight thousand, four hundred sixty-four".