345846804812168 has 256 divisors, whose sum is σ = 752459607244800. Its totient is φ = 147547501056000.

The previous prime is 345846804812147. The next prime is 345846804812219. The reversal of 345846804812168 is 861218408648543.

It is a super-2 number, since 2×345846804812168² (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 345846804812098 and 345846804812107.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16756945193 + ... + 16756965831.

It is an arithmetic number, because the mean of its divisors is an integer number (2939295340800).

Almost surely, 2^{345846804812168} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 345846804812168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376229803622400).

345846804812168 is an abundant number, since it is smaller than the sum of its proper divisors (406612802432632).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

345846804812168 is a wasteful number, since it uses less digits than its factorization.

345846804812168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21604 (or 21600 counting only the distinct ones).

The product of its (nonzero) digits is 283115520, while the sum is 68.

The spelling of 345846804812168 in words is "three hundred forty-five trillion, eight hundred forty-six billion, eight hundred four million, eight hundred twelve thousand, one hundred sixty-eight".