444081861608448 has 704 divisors, whose sum is σ = 1461170616680448. Its totient is φ = 117214549770240.

The previous prime is 444081861608443. The next prime is 444081861608449. The reversal of 444081861608448 is 844806168180444.

It is not an unprimeable number, because it can be changed into a prime (444081861608443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1307079811 + ... + 1307419517.

Almost surely, 2^{444081861608448} is an apocalyptic number.

444081861608448 is a gapful number since it is divisible by the number (48) 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 444081861608448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (730585308340224).

444081861608448 is an abundant number, since it is smaller than the sum of its proper divisors (1017088755072000).

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

444081861608448 is a wasteful number, since it uses less digits than its factorization.

444081861608448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339858 (or 339840 counting only the distinct ones).

The product of its (nonzero) digits is 150994944, while the sum is 66.

The spelling of 444081861608448 in words is "four hundred forty-four trillion, eighty-one billion, eight hundred sixty-one million, six hundred eight thousand, four hundred forty-eight".