445375505573544 has 128 divisors (see below), whose sum is σ = 1407423635331840. Its totient is φ = 114287032000512.

The previous prime is 445375505573533. The next prime is 445375505573591.

445375505573544 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2755682889 + ... + 2755844504.

It is an arithmetic number, because the mean of its divisors is an integer number (10995497151030).

Almost surely, 2^{445375505573544} is an apocalyptic number.

It is an amenable number.

445375505573544 is an abundant number, since it is smaller than the sum of its proper divisors (962048129758296).

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

445375505573544 is a wasteful number, since it uses less digits than its factorization.

445375505573544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5511527459 (or 5511527455 counting only the distinct ones).

The product of its (nonzero) digits is 1764000000, while the sum is 66.

The spelling of 445375505573544 in words is "four hundred forty-five trillion, three hundred seventy-five billion, five hundred five million, five hundred seventy-three thousand, five hundred forty-four".