445463828364544 has 144 divisors (see below), whose sum is σ = 978537717178560. Its totient is φ = 200709656576000.

The previous prime is 445463828364493. The next prime is 445463828364551.

It is a happy number.

445463828364544 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 324312042 + ... + 325682710.

It is an arithmetic number, because the mean of its divisors is an integer number (6795400813740).

Almost surely, 2^{445463828364544} is an apocalyptic number.

445463828364544 is a gapful number since it is divisible by the number (44) 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 445463828364544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (489268858589280).

445463828364544 is an abundant number, since it is smaller than the sum of its proper divisors (533073888814016).

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

445463828364544 is a wasteful number, since it uses less digits than its factorization.

445463828364544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1371708 (or 1371694 counting only the distinct ones).

The product of its digits is 4246732800, while the sum is 70.

The spelling of 445463828364544 in words is "four hundred forty-five trillion, four hundred sixty-three billion, eight hundred twenty-eight million, three hundred sixty-four thousand, five hundred forty-four".