350614384129 has 27 divisors (see below), whose sum is σ = 379322132553. Its totient is φ = 324011894400.

The previous prime is 350614384117. The next prime is 350614384177. The reversal of 350614384129 is 921483416053.

It is a happy number.

The square root of 350614384129 is 592127.

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 32351418225 + 318262965904 = 179865^2 + 564148^2 .

It is not a de Polignac number, because 350614384129 - 2²³ = 350605995521 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (350614384189) 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, 614035414 + ... + 614035984.

Almost surely, 2^350614384129 is an apocalyptic number.

350614384129 is the 592127-th square number.

350614384129 is the 296064-th centered octagonal number.

It is an amenable number.

350614384129 is a deficient number, since it is larger than the sum of its proper divisors (28707748424).

350614384129 is an frugal number, since it uses more digits than its factorization.

350614384129 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1298 (or 649 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 46.

The spelling of 350614384129 in words is "three hundred fifty billion, six hundred fourteen million, three hundred eighty-four thousand, one hundred twenty-nine".