4648424248464 has 20 divisors (see below), whose sum is σ = 12008429308656. Its totient is φ = 1549474749472.

The previous prime is 4648424248417. The next prime is 4648424248487.

It is a happy number.

4648424248464 is nontrivially palindromic in base 10.

It is a super-3 number, since 3×4648424248464³ (a number of 39 digits) contains 333 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 4648424248398 and 4648424248407.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 48421085874 + ... + 48421085969.

Almost surely, 2^{4648424248464} is an apocalyptic number.

It is an amenable number.

4648424248464 is an abundant number, since it is smaller than the sum of its proper divisors (7360005060192).

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

4648424248464 is a wasteful number, since it uses less digits than its factorization.

4648424248464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96842171854 (or 96842171848 counting only the distinct ones).

The product of its digits is 150994944, while the sum is 60.

The spelling of 4648424248464 in words is "four trillion, six hundred forty-eight billion, four hundred twenty-four million, two hundred forty-eight thousand, four hundred sixty-four".