345112606577568 has 192 divisors, whose sum is σ = 934593294458880. Its totient is φ = 111446848128000.

The previous prime is 345112606577567. The next prime is 345112606577581. The reversal of 345112606577568 is 865775606211543.

It is a happy number.

It is a super-2 number, since 2×345112606577568² (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 345112606577499 and 345112606577508.

It is not an unprimeable number, because it can be changed into a prime (345112606577567) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1831412313 + ... + 1831600743.

It is an arithmetic number, because the mean of its divisors is an integer number (4867673408640).

Almost surely, 2^{345112606577568} 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 345112606577568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (467296647229440).

345112606577568 is an abundant number, since it is smaller than the sum of its proper divisors (589480687881312).

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

345112606577568 is a wasteful number, since it uses less digits than its factorization.

345112606577568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192611 (or 192603 counting only the distinct ones).

The product of its (nonzero) digits is 254016000, while the sum is 66.

The spelling of 345112606577568 in words is "three hundred forty-five trillion, one hundred twelve billion, six hundred six million, five hundred seventy-seven thousand, five hundred sixty-eight".