348873410817 has 12 divisors (see below), whose sum is σ = 503940895380. Its totient is φ = 232576442208.

The previous prime is 348873410813. The next prime is 348873410819. The reversal of 348873410817 is 718014378843.

348873410817 is a `hidden beast` number, since 3 + 4 + 88 + 73 + 410 + 81 + 7 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 44672626881 + 304200783936 = 211359^2 + 551544^2 .

It is not a de Polignac number, because 348873410817 - 2² = 348873410813 is a prime.

It is not an unprimeable number, because it can be changed into a prime (348873410813) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 90118 + ... + 840159.

It is an arithmetic number, because the mean of its divisors is an integer number (41995074615).

Almost surely, 2^348873410817 is an apocalyptic number.

It is an amenable number.

348873410817 is a deficient number, since it is larger than the sum of its proper divisors (155067484563).

348873410817 is a wasteful number, since it uses less digits than its factorization.

348873410817 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 971952 (or 971949 counting only the distinct ones).

The product of its (nonzero) digits is 3612672, while the sum is 54.

The spelling of 348873410817 in words is "three hundred forty-eight billion, eight hundred seventy-three million, four hundred ten thousand, eight hundred seventeen".