4648122218464 has 48 divisors (see below), whose sum is σ = 9643403095200. Its totient is φ = 2201004889600.

The previous prime is 4648122218461. The next prime is 4648122218479.

4648122218464 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4648122218461) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31189939 + ... + 31338610.

It is an arithmetic number, because the mean of its divisors is an integer number (200904231150).

Almost surely, 2^{4648122218464} is an apocalyptic number.

It is an amenable number.

4648122218464 is an abundant number, since it is smaller than the sum of its proper divisors (4995280876736).

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

4648122218464 is a wasteful number, since it uses less digits than its factorization.

4648122218464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62528683 (or 62528675 counting only the distinct ones).

The product of its digits is 4718592, while the sum is 52.

The spelling of 4648122218464 in words is "four trillion, six hundred forty-eight billion, one hundred twenty-two million, two hundred eighteen thousand, four hundred sixty-four".