345333443073777 has 28 divisors (see below), whose sum is σ = 518447278610740. Its totient is φ = 229918170450528.

The previous prime is 345333443073739. The next prime is 345333443073779. The reversal of 345333443073777 is 777370344333543.

345333443073777 is a `hidden beast` number, since 3 + 4 + 5 + 33 + 34 + 430 + 73 + 7 + 77 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 268941927503601 + 76391515570176 = 16399449^2 + 8740224^2 .

It is not a de Polignac number, because 345333443073777 - 2¹⁰ = 345333443072753 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (345333443073779) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 312333502 + ... + 313437207.

Almost surely, 2^{345333443073777} is an apocalyptic number.

It is an amenable number.

345333443073777 is a deficient number, since it is larger than the sum of its proper divisors (173113835536963).

345333443073777 is an frugal number, since it uses more digits than its factorization.

345333443073777 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 625771484 (or 625771469 counting only the distinct ones).

The product of its (nonzero) digits is 560105280, while the sum is 63.

The spelling of 345333443073777 in words is "three hundred forty-five trillion, three hundred thirty-three billion, four hundred forty-three million, seventy-three thousand, seven hundred seventy-seven".