345133165312 has 72 divisors (see below), whose sum is σ = 746638541936. Its totient is φ = 158277390336.

The previous prime is 345133165271. The next prime is 345133165313. The reversal of 345133165312 is 213561331543.

It is a super-3 number, since 3×345133165312³ (a number of 36 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (345133165313) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 192223 + ... + 852769.

Almost surely, 2^345133165312 is an apocalyptic number.

345133165312 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 345133165312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (373319270968).

345133165312 is an abundant number, since it is smaller than the sum of its proper divisors (401505376624).

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

345133165312 is a wasteful number, since it uses less digits than its factorization.

345133165312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 660733 (or 660719 counting only the distinct ones).

The product of its digits is 97200, while the sum is 37.

Adding to 345133165312 its reverse (213561331543), we get a palindrome (558694496855).

The spelling of 345133165312 in words is "three hundred forty-five billion, one hundred thirty-three million, one hundred sixty-five thousand, three hundred twelve".