345664120006360 has 16 divisors (see below), whose sum is σ = 777744270014400. Its totient is φ = 138265648002528.

The previous prime is 345664120006339. The next prime is 345664120006363. The reversal of 345664120006360 is 63600021466543.

It is a self number, because there is not a number n which added to its sum of digits gives 345664120006360.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345664120006363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4320801500040 + ... + 4320801500119.

It is an arithmetic number, because the mean of its divisors is an integer number (48609016875900).

Almost surely, 2^{345664120006360} is an apocalyptic number.

It is an amenable number.

345664120006360 is an abundant number, since it is smaller than the sum of its proper divisors (432080150008040).

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

345664120006360 is a wasteful number, since it uses less digits than its factorization.

345664120006360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8641603000170 (or 8641603000166 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 46.

The spelling of 345664120006360 in words is "three hundred forty-five trillion, six hundred sixty-four billion, one hundred twenty million, six thousand, three hundred sixty".