345000225000000 has 252 divisors, whose sum is σ = 1141016032986992. Its totient is φ = 92000040000000.

The previous prime is 345000224999987. The next prime is 345000225000029. The reversal of 345000225000000 is 522000543.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 72699999 + ... + 77300001.

Almost surely, 2^{345000225000000} is an apocalyptic number.

345000225000000 is a gapful number since it is divisible by the number (30) 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 345000225000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (570508016493496).

345000225000000 is an abundant number, since it is smaller than the sum of its proper divisors (796015807986992).

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

345000225000000 is an frugal number, since it uses more digits than its factorization.

345000225000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4600058 (or 4600013 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 21.

Adding to 345000225000000 its reverse (522000543), we get a palindrome (345000747000543).

The spelling of 345000225000000 in words is "three hundred forty-five trillion, two hundred twenty-five million", and thus it is an aban number.