345131330052042 has 12 divisors (see below), whose sum is σ = 747784548446130. Its totient is φ = 115043776684008.

The previous prime is 345131330052031. The next prime is 345131330052083. The reversal of 345131330052042 is 240250033131543.

345131330052042 is a `hidden beast` number, since 3 + 4 + 51 + 3 + 13 + 30 + 0 + 520 + 42 = 666.

It can be written as a sum of positive squares in only one way, i.e., 319195421013681 + 25935909038361 = 17866041^2 + 5092731^2 .

It is a super-3 number, since 3×345131330052042³ (a number of 45 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 345131330051988 and 345131330052006.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 9586981390317 + ... + 9586981390352.

Almost surely, 2^{345131330052042} is an apocalyptic number.

345131330052042 is an abundant number, since it is smaller than the sum of its proper divisors (402653218394088).

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

345131330052042 is a wasteful number, since it uses less digits than its factorization.

345131330052042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19173962780677 (or 19173962780674 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 36.

Adding to 345131330052042 its reverse (240250033131543), we get a palindrome (585381363183585).

The spelling of 345131330052042 in words is "three hundred forty-five trillion, one hundred thirty-one billion, three hundred thirty million, fifty-two thousand, forty-two".