444681438004674 has 80 divisors (see below), whose sum is σ = 1074480709728888. Its totient is φ = 136644310914048.

The previous prime is 444681438004673. The next prime is 444681438004709. The reversal of 444681438004674 is 476400834186444.

444681438004674 is a `hidden beast` number, since 4 + 446 + 8 + 1 + 4 + 3 + 80 + 0 + 46 + 74 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 386420962553649 + 58260475451025 = 19657593^2 + 7632855^2 .

It is not an unprimeable number, because it can be changed into a prime (444681438004673) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 137870607 + ... + 141059090.

Almost surely, 2^{444681438004674} is an apocalyptic number.

444681438004674 is an abundant number, since it is smaller than the sum of its proper divisors (629799271724214).

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

444681438004674 is a wasteful number, since it uses less digits than its factorization.

444681438004674 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278930481 (or 278930472 counting only the distinct ones).

The product of its (nonzero) digits is 198180864, while the sum is 63.

The spelling of 444681438004674 in words is "four hundred forty-four trillion, six hundred eighty-one billion, four hundred thirty-eight million, four thousand, six hundred seventy-four".