345132262305 has 96 divisors (see below), whose sum is σ = 627863588352. Its totient is φ = 175048473600.

The previous prime is 345132262253. The next prime is 345132262313. The reversal of 345132262305 is 503262231543.

345132262305 is a `hidden beast` number, since 3 + 4 + 5 + 1 + 3 + 22 + 623 + 0 + 5 = 666.

It is not a de Polignac number, because 345132262305 - 2⁸ = 345132262049 is a prime.

It is a super-3 number, since 3×345132262305³ (a number of 36 digits) contains 333 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 345132262305.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 149342100 + ... + 149344410.

It is an arithmetic number, because the mean of its divisors is an integer number (6540245712).

Almost surely, 2^345132262305 is an apocalyptic number.

It is an amenable number.

345132262305 is a deficient number, since it is larger than the sum of its proper divisors (282731326047).

345132262305 is a wasteful number, since it uses less digits than its factorization.

345132262305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3119 (or 3116 counting only the distinct ones).

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

Adding to 345132262305 its reverse (503262231543), we get a palindrome (848394493848).

The spelling of 345132262305 in words is "three hundred forty-five billion, one hundred thirty-two million, two hundred sixty-two thousand, three hundred five".