30355945602129 has 243 divisors, whose sum is σ = 53964906777873. Its totient is φ = 16394522352768.

The previous prime is 30355945602121. The next prime is 30355945602193. The reversal of 30355945602129 is 92120654955303.

The square root of 30355945602129 is 5509623.

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

30355945602129 is a `hidden beast` number, since 3 + 0 + 3 + 5 + 5 + 9 + 4 + 5 + 602 + 1 + 29 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1535797568529 + 28820148033600 = 1239273^2 + 5368440^2 .

It is not a de Polignac number, because 30355945602129 - 2³ = 30355945602121 is a prime.

It is not an unprimeable number, because it can be changed into a prime (30355945602121) by changing a digit.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 278494913727 + ... + 278494913835.

Almost surely, 2^{30355945602129} is an apocalyptic number.

30355945602129 is the 5509623-rd square number.

30355945602129 is the 2754812-nd centered octagonal number.

It is an amenable number.

30355945602129 is a deficient number, since it is larger than the sum of its proper divisors (23608961175744).

30355945602129 is an equidigital number, since it uses as much as digits as its factorization.

30355945602129 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 462 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 8748000, while the sum is 54.

The spelling of 30355945602129 in words is "thirty trillion, three hundred fifty-five billion, nine hundred forty-five million, six hundred two thousand, one hundred twenty-nine".