446089074201 has 63 divisors (see below), whose sum is σ = 693498961389. Its totient is φ = 286801173792.

The previous prime is 446089074121. The next prime is 446089074203. The reversal of 446089074201 is 102470980644.

The square root of 446089074201 is 667899.

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

It can be written as a sum of positive squares in 4 ways, for example, as 109484883225 + 336604190976 = 330885^2 + 580176^2 .

It is not a de Polignac number, because 446089074201 - 2¹⁷ = 446088943129 is a prime.

It is not an unprimeable number, because it can be changed into a prime (446089074203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 522964491 + ... + 522965343.

Almost surely, 2^446089074201 is an apocalyptic number.

446089074201 is the 667899-th square number.

446089074201 is the 333950-th centered octagonal number.

It is an amenable number.

446089074201 is a deficient number, since it is larger than the sum of its proper divisors (247409887188).

446089074201 is an frugal number, since it uses more digits than its factorization.

446089074201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1782 (or 885 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 446089074201 in words is "four hundred forty-six billion, eighty-nine million, seventy-four thousand, two hundred one".