345330546016200 has 48 divisors (see below), whose sum is σ = 1070524692652080. Its totient is φ = 92088145604160.

The previous prime is 345330546016193. The next prime is 345330546016207. The reversal of 345330546016200 is 2610645033543.

It is an interprime number because it is at equal distance from previous prime (345330546016193) and next prime (345330546016207).

It is not an unprimeable number, because it can be changed into a prime (345330546016207) 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 11 ways as a sum of consecutive naturals, for example, 287775454414 + ... + 287775455613.

It is an arithmetic number, because the mean of its divisors is an integer number (22302597763585).

Almost surely, 2^{345330546016200} is an apocalyptic number.

345330546016200 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

345330546016200 is an abundant number, since it is smaller than the sum of its proper divisors (725194146635880).

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

345330546016200 is a wasteful number, since it uses less digits than its factorization.

345330546016200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 575550910046 (or 575550910037 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 42.

The spelling of 345330546016200 in words is "three hundred forty-five trillion, three hundred thirty billion, five hundred forty-six million, sixteen thousand, two hundred".