4644438344464 has 80 divisors (see below), whose sum is σ = 9174830742000. Its totient is φ = 2277198489600.

The previous prime is 4644438344461. The next prime is 4644438344471.

4644438344464 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 8 ways, for example, as 24913465600 + 4619524878864 = 157840^2 + 2149308^2 .

It is a super-2 number, since 2×4644438344464² (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4644438344399 and 4644438344408.

It is not an unprimeable number, because it can be changed into a prime (4644438344461) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 653314542 + ... + 653321650.

It is an arithmetic number, because the mean of its divisors is an integer number (114685384275).

Almost surely, 2^{4644438344464} is an apocalyptic number.

It is an amenable number.

4644438344464 is a deficient number, since it is larger than the sum of its proper divisors (4530392397536).

4644438344464 is a wasteful number, since it uses less digits than its factorization.

4644438344464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11036 (or 11030 counting only the distinct ones).

The product of its digits is 169869312, while the sum is 58.

The spelling of 4644438344464 in words is "four trillion, six hundred forty-four billion, four hundred thirty-eight million, three hundred forty-four thousand, four hundred sixty-four".