445936093605601 has 27 divisors (see below), whose sum is σ = 453490460265297. Its totient is φ = 438507084114600.

The previous prime is 445936093605559. The next prime is 445936093605617. The reversal of 445936093605601 is 106506390639544.

The square root of 445936093605601 is 21117199.

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

It is not a de Polignac number, because 445936093605601 - 2²¹ = 445936091508449 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 445936093605601.

It is not an unprimeable number, because it can be changed into a prime (445936093605001) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 341190583590 + ... + 341190584896.

Almost surely, 2^{445936093605601} is an apocalyptic number.

445936093605601 is the 21117199-th square number.

445936093605601 is the 10558600-th centered octagonal number.

It is an amenable number.

445936093605601 is a deficient number, since it is larger than the sum of its proper divisors (7554366659696).

445936093605601 is an frugal number, since it uses more digits than its factorization.

445936093605601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3130 (or 1565 counting only the distinct ones).

The product of its (nonzero) digits is 62985600, while the sum is 61.

The spelling of 445936093605601 in words is "four hundred forty-five trillion, nine hundred thirty-six billion, ninety-three million, six hundred five thousand, six hundred one".