349180406748263 has 16 divisors (see below), whose sum is σ = 366017209596192. Its totient is φ = 332739876672000.

The previous prime is 349180406748259. The next prime is 349180406748311. The reversal of 349180406748263 is 362847604081943.

It is a cyclic number.

It is not a de Polignac number, because 349180406748263 - 2² = 349180406748259 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 349180406748263.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (349180406748233) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 652820153 + ... + 653354813.

It is an arithmetic number, because the mean of its divisors is an integer number (22876075599762).

Almost surely, 2^{349180406748263} is an apocalyptic number.

349180406748263 is a deficient number, since it is larger than the sum of its proper divisors (16836802847929).

349180406748263 is a wasteful number, since it uses less digits than its factorization.

349180406748263 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 905186.

The product of its (nonzero) digits is 167215104, while the sum is 65.

The spelling of 349180406748263 in words is "three hundred forty-nine trillion, one hundred eighty billion, four hundred six million, seven hundred forty-eight thousand, two hundred sixty-three".