6444434344446 has 128 divisors (see below), whose sum is σ = 16703781120000. Its totient is φ = 1840942053216.

The previous prime is 6444434344441. The next prime is 6444434344561.

6444434344446 is a `hidden beast` number, since 64 + 44 + 434 + 34 + 44 + 46 = 666.

6444434344446 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 Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 6444434344392 and 6444434344401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6444434344441) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 116975935 + ... + 117031013.

It is an arithmetic number, because the mean of its divisors is an integer number (130498290000).

Almost surely, 2^{6444434344446} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6444434344446, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8351890560000).

6444434344446 is an abundant number, since it is smaller than the sum of its proper divisors (10259346775554).

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

6444434344446 is a wasteful number, since it uses less digits than its factorization.

6444434344446 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61428 (or 61408 counting only the distinct ones).

The product of its digits is 84934656, while the sum is 54.

The spelling of 6444434344446 in words is "six trillion, four hundred forty-four billion, four hundred thirty-four million, three hundred forty-four thousand, four hundred forty-six".