444096068553808 has 480 divisors, whose sum is σ = 1039734032191488. Its totient is φ = 181997005209600.

The previous prime is 444096068553803. The next prime is 444096068553829. The reversal of 444096068553808 is 808355860690444.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444096068553803) 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 95 ways as a sum of consecutive naturals, for example, 232876804791 + ... + 232876806697.

Almost surely, 2^{444096068553808} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 444096068553808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (519867016095744).

444096068553808 is an abundant number, since it is smaller than the sum of its proper divisors (595637963637680).

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

444096068553808 is a wasteful number, since it uses less digits than its factorization.

444096068553808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3411 (or 3388 counting only the distinct ones).

The product of its (nonzero) digits is 796262400, while the sum is 70.

The spelling of 444096068553808 in words is "four hundred forty-four trillion, ninety-six billion, sixty-eight million, five hundred fifty-three thousand, eight hundred eight".