345623838824817 has 24 divisors (see below), whose sum is σ = 570556836445440. Its totient is φ = 197498229557760.

The previous prime is 345623838824707. The next prime is 345623838824939. The reversal of 345623838824817 is 718428838326543.

345623838824817 is a `hidden beast` number, since 3 + 4 + 5 + 6 + 2 + 38 + 38 + 82 + 481 + 7 = 666.

It is not a de Polignac number, because 345623838824817 - 2³⁰ = 345622765082993 is a prime.

It is not an unprimeable number, because it can be changed into a prime (345623838824417) 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, 3977392 + ... + 26590737.

It is an arithmetic number, because the mean of its divisors is an integer number (23773201518560).

Almost surely, 2^{345623838824817} is an apocalyptic number.

It is an amenable number.

345623838824817 is a deficient number, since it is larger than the sum of its proper divisors (224932997620623).

345623838824817 is a wasteful number, since it uses less digits than its factorization.

345623838824817 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30747613 (or 30747610 counting only the distinct ones).

The product of its digits is 1486356480, while the sum is 72.

The spelling of 345623838824817 in words is "three hundred forty-five trillion, six hundred twenty-three billion, eight hundred thirty-eight million, eight hundred twenty-four thousand, eight hundred seventeen".