345303213334353 has 24 divisors (see below), whose sum is σ = 543126651350400. Its totient is φ = 210566024825184.

The previous prime is 345303213334349. The next prime is 345303213334393. The reversal of 345303213334353 is 353433312303543.

345303213334353 is a `hidden beast` number, since 3 + 4 + 5 + 303 + 2 + 1 + 3 + 334 + 3 + 5 + 3 = 666.

It is not a de Polignac number, because 345303213334353 - 2² = 345303213334349 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 345303213334299 and 345303213334308.

It is not an unprimeable number, because it can be changed into a prime (345303213334393) 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, 34815806025 + ... + 34815815942.

It is an arithmetic number, because the mean of its divisors is an integer number (22630277139600).

Almost surely, 2^{345303213334353} is an apocalyptic number.

It is an amenable number.

345303213334353 is a deficient number, since it is larger than the sum of its proper divisors (197823438016047).

345303213334353 is a wasteful number, since it uses less digits than its factorization.

345303213334353 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69631622021 (or 69631622018 counting only the distinct ones).

The product of its (nonzero) digits is 5248800, while the sum is 45.

Adding to 345303213334353 its reverse (353433312303543), we get a palindrome (698736525637896).

The spelling of 345303213334353 in words is "three hundred forty-five trillion, three hundred three billion, two hundred thirteen million, three hundred thirty-four thousand, three hundred fifty-three".