350085541988329 has 27 divisors (see below), whose sum is σ = 429807324248631. Its totient is φ = 284277968241120.

The previous prime is 350085541988263. The next prime is 350085541988381. The reversal of 350085541988329 is 923889145580053.

The square root of 350085541988329 is 18710573.

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., 7529113429929 + 342556428558400 = 2743923^2 + 18508280^2 .

It is not a de Polignac number, because 350085541988329 - 2¹¹ = 350085541986281 is a prime.

It is a super-3 number, since 3×350085541988329³ (a number of 45 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (350085541988389) 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, 2488435869 + ... + 2488576549.

Almost surely, 2^{350085541988329} is an apocalyptic number.

350085541988329 is the 18710573-rd square number.

350085541988329 is the 9355287-th centered octagonal number.

It is an amenable number.

350085541988329 is a deficient number, since it is larger than the sum of its proper divisors (79721782260302).

350085541988329 is an frugal number, since it uses more digits than its factorization.

350085541988329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281414 (or 140707 counting only the distinct ones).

The product of its (nonzero) digits is 373248000, while the sum is 70.

The spelling of 350085541988329 in words is "three hundred fifty trillion, eighty-five billion, five hundred forty-one million, nine hundred eighty-eight thousand, three hundred twenty-nine".