345608564007 has 16 divisors (see below), whose sum is σ = 527126147072. Its totient is φ = 197308910880.

The previous prime is 345608563973. The next prime is 345608564017. The reversal of 345608564007 is 700465806543.

It is not a de Polignac number, because 345608564007 - 2²⁰ = 345607515431 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345608564017) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 7547344 + ... + 7592997.

It is an arithmetic number, because the mean of its divisors is an integer number (32945384192).

Almost surely, 2^345608564007 is an apocalyptic number.

345608564007 is a deficient number, since it is larger than the sum of its proper divisors (181517583065).

345608564007 is a wasteful number, since it uses less digits than its factorization.

345608564007 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15141438.

The product of its (nonzero) digits is 2419200, while the sum is 48.

The spelling of 345608564007 in words is "three hundred forty-five billion, six hundred eight million, five hundred sixty-four thousand, seven".