353845332801 has 81 divisors (see below), whose sum is σ = 551495946729. Its totient is φ = 218599869312.

The previous prime is 353845332787. The next prime is 353845332809. The reversal of 353845332801 is 108233548353.

The square root of 353845332801 is 594849.

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

353845332801 is a `hidden beast` number, since 3 + 5 + 38 + 4 + 533 + 2 + 80 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 6617985201 + 347227347600 = 81351^2 + 589260^2 .

It is not a de Polignac number, because 353845332801 - 2¹¹ = 353845330753 is a prime.

It is not an unprimeable number, because it can be changed into a prime (353845332809) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 1518649381 + ... + 1518649613.

Almost surely, 2^353845332801 is an apocalyptic number.

353845332801 is the 594849-th square number.

353845332801 is the 297425-th centered octagonal number.

It is an amenable number.

353845332801 is a deficient number, since it is larger than the sum of its proper divisors (197650613928).

353845332801 is an equidigital number, since it uses as much as digits as its factorization.

353845332801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 592 (or 296 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The spelling of 353845332801 in words is "three hundred fifty-three billion, eight hundred forty-five million, three hundred thirty-two thousand, eight hundred one".