345102600144225 has 96 divisors (see below), whose sum is σ = 725877083750400. Its totient is φ = 143419262280000.

The previous prime is 345102600144157. The next prime is 345102600144259. The reversal of 345102600144225 is 522441006201543.

It is not a de Polignac number, because 345102600144225 - 2⁷ = 345102600144097 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 609492801 + ... + 610058750.

It is an arithmetic number, because the mean of its divisors is an integer number (7561219622400).

Almost surely, 2^{345102600144225} is an apocalyptic number.

345102600144225 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

345102600144225 is an abundant number, since it is smaller than the sum of its proper divisors (380774483606175).

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

345102600144225 is a wasteful number, since it uses less digits than its factorization.

345102600144225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1219551596 (or 1219551577 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 39.

Adding to 345102600144225 its reverse (522441006201543), we get a palindrome (867543606345768).

The spelling of 345102600144225 in words is "three hundred forty-five trillion, one hundred two billion, six hundred million, one hundred forty-four thousand, two hundred twenty-five".