444640713313347 has 24 divisors (see below), whose sum is σ = 682291199968560. Its totient is φ = 289197211904640.

The previous prime is 444640713313327. The next prime is 444640713313399. The reversal of 444640713313347 is 743313317046444.

444640713313347 is a `hidden beast` number, since 4 + 4 + 464 + 0 + 7 + 1 + 3 + 3 + 133 + 47 = 666.

It is not a de Polignac number, because 444640713313347 - 2³⁹ = 444090957499459 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 444640713313293 and 444640713313302.

It is not an unprimeable number, because it can be changed into a prime (444640713313327) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22314589722 + ... + 22314609647.

It is an arithmetic number, because the mean of its divisors is an integer number (28428799998690).

Almost surely, 2^{444640713313347} is an apocalyptic number.

444640713313347 is a deficient number, since it is larger than the sum of its proper divisors (237650486655213).

444640713313347 is an equidigital number, since it uses as much as digits as its factorization.

444640713313347 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44629199425 (or 44629199413 counting only the distinct ones).

The product of its (nonzero) digits is 24385536, while the sum is 54.

The spelling of 444640713313347 in words is "four hundred forty-four trillion, six hundred forty billion, seven hundred thirteen million, three hundred thirteen thousand, three hundred forty-seven".