345342532000000 has 252 divisors, whose sum is σ = 862071515343360. Its totient is φ = 138070892800000.

The previous prime is 345342531999947. The next prime is 345342532000003. The reversal of 345342532000000 is 235243543.

It is a super-2 number, since 2×345342532000000² (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (345342532000003) 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 27 ways as a sum of consecutive naturals, for example, 8827980441 + ... + 8828019559.

It is an arithmetic number, because the mean of its divisors is an integer number (3420918711680).

Almost surely, 2^{345342532000000} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 345342532000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (431035757671680).

345342532000000 is an abundant number, since it is smaller than the sum of its proper divisors (516728983343360).

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

345342532000000 is an frugal number, since it uses more digits than its factorization.

345342532000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41372 (or 41333 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 31.

Adding to 345342532000000 its reverse (235243543), we get a palindrome (345342767243543).

The spelling of 345342532000000 in words is "three hundred forty-five trillion, three hundred forty-two billion, five hundred thirty-two million", and thus it is an aban number.