445517535841 has 81 divisors (see below), whose sum is σ = 565554958227. Its totient is φ = 349861599360.

The previous prime is 445517535761. The next prime is 445517535847. The reversal of 445517535841 is 148535715544.

The square root of 445517535841 is 667471.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 346856213025 + 98661322816 = 588945^2 + 314104^2 .

It is not a de Polignac number, because 445517535841 - 2³³ = 436927601249 is a prime.

It is not an unprimeable number, because it can be changed into a prime (445517535847) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 5639462440 + ... + 5639462518.

Almost surely, 2^445517535841 is an apocalyptic number.

445517535841 is the 667471-st square number.

445517535841 is the 333736-th centered octagonal number.

It is an amenable number.

445517535841 is a deficient number, since it is larger than the sum of its proper divisors (120037422386).

445517535841 is an frugal number, since it uses more digits than its factorization.

445517535841 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348 (or 174 counting only the distinct ones).

The product of its digits is 6720000, while the sum is 52.

The spelling of 445517535841 in words is "four hundred forty-five billion, five hundred seventeen million, five hundred thirty-five thousand, eight hundred forty-one".