6444418144446 has 32 divisors (see below), whose sum is σ = 14344837344000. Its totient is φ = 2144553161400.

The previous prime is 6444418144433. The next prime is 6444418144511.

6444418144446 is a `hidden beast` number, since 6 + 4 + 4 + 44 + 18 + 144 + 446 = 666.

6444418144446 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 6444418144392 and 6444418144401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 99584580 + ... + 99649271.

It is an arithmetic number, because the mean of its divisors is an integer number (448276167000).

Almost surely, 2^{6444418144446} is an apocalyptic number.

6444418144446 is an abundant number, since it is smaller than the sum of its proper divisors (7900419199554).

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

6444418144446 is a wasteful number, since it uses less digits than its factorization.

6444418144446 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199234461 (or 199234455 counting only the distinct ones).

The product of its digits is 18874368, while the sum is 54.

The spelling of 6444418144446 in words is "six trillion, four hundred forty-four billion, four hundred eighteen million, one hundred forty-four thousand, four hundred forty-six".