449446644944 has 80 divisors (see below), whose sum is σ = 1000392845760. Its totient is φ = 193458816000.

The previous prime is 449446644937. The next prime is 449446644947.

It is a happy number.

449446644944 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 (449446644947) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8135174 + ... + 8190234.

It is an arithmetic number, because the mean of its divisors is an integer number (12504910572).

Almost surely, 2^449446644944 is an apocalyptic number.

449446644944 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 449446644944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (500196422880).

449446644944 is an abundant number, since it is smaller than the sum of its proper divisors (550946200816).

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

449446644944 is a wasteful number, since it uses less digits than its factorization.

449446644944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57540 (or 57534 counting only the distinct ones).

The product of its digits is 191102976, while the sum is 62.

The spelling of 449446644944 in words is "four hundred forty-nine billion, four hundred forty-six million, six hundred forty-four thousand, nine hundred forty-four".