445042686240544 has 192 divisors, whose sum is σ = 1036686942144000. Its totient is φ = 184011358003200.

The previous prime is 445042686240541. The next prime is 445042686240547.

445042686240544 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (445042686240541) and next prime (445042686240547).

It is a Harshad number since it is a multiple of its sum of digits (58).

It is not an unprimeable number, because it can be changed into a prime (445042686240541) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 72707509804 + ... + 72707515924.

It is an arithmetic number, because the mean of its divisors is an integer number (5399411157000).

Almost surely, 2^{445042686240544} 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 445042686240544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (518343471072000).

445042686240544 is an abundant number, since it is smaller than the sum of its proper divisors (591644255903456).

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

445042686240544 is a wasteful number, since it uses less digits than its factorization.

445042686240544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13107 (or 13099 counting only the distinct ones).

The product of its (nonzero) digits is 117964800, while the sum is 58.

The spelling of 445042686240544 in words is "four hundred forty-five trillion, forty-two billion, six hundred eighty-six million, two hundred forty thousand, five hundred forty-four".