353155644361 has 27 divisors (see below), whose sum is σ = 406380263391. Its totient is φ = 306699853824.

The previous prime is 353155644311. The next prime is 353155644397. The reversal of 353155644361 is 163446551353.

It is a happy number.

The square root of 353155644361 is 594269.

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

It can be written as a sum of positive squares in 13 ways, for example, as 349908923961 + 3246720400 = 591531^2 + 56980^2 .

It is not a de Polignac number, because 353155644361 - 2¹⁷ = 353155513289 is a prime.

It is a super-2 number, since 2×353155644361² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (353155644301) 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 26 ways as a sum of consecutive naturals, for example, 131332105 + ... + 131334793.

Almost surely, 2^353155644361 is an apocalyptic number.

353155644361 is the 594269-th square number.

353155644361 is the 297135-th centered octagonal number.

It is an amenable number.

353155644361 is a deficient number, since it is larger than the sum of its proper divisors (53224619030).

353155644361 is an frugal number, since it uses more digits than its factorization.

353155644361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5438 (or 2719 counting only the distinct ones).

The product of its digits is 1944000, while the sum is 46.

The spelling of 353155644361 in words is "three hundred fifty-three billion, one hundred fifty-five million, six hundred forty-four thousand, three hundred sixty-one".