353434505434353 has 24 divisors (see below), whose sum is σ = 609093478755360. Its totient is φ = 201962574533160.

The previous prime is 353434505434319. The next prime is 353434505434427.

353434505434353 is a `hidden beast` number, since 3 + 5 + 3 + 4 + 3 + 4 + 5 + 0 + 543 + 43 + 53 = 666.

353434505434353 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 353434505434353 - 2⁸ = 353434505434097 is a prime.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 353434505434353.

It is not an unprimeable number, because it can be changed into a prime (353434505434313) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 133573129983 + ... + 133573132628.

It is an arithmetic number, because the mean of its divisors is an integer number (25378894948140).

Almost surely, 2^{353434505434353} is an apocalyptic number.

It is an amenable number.

353434505434353 is a deficient number, since it is larger than the sum of its proper divisors (255658973321007).

353434505434353 is a wasteful number, since it uses less digits than its factorization.

353434505434353 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267146262634 (or 267146262621 counting only the distinct ones).

The product of its (nonzero) digits is 116640000, while the sum is 54.

The spelling of 353434505434353 in words is "three hundred fifty-three trillion, four hundred thirty-four billion, five hundred five million, four hundred thirty-four thousand, three hundred fifty-three".