245355332024300 has 72 divisors (see below), whose sum is σ = 536687786502000. Its totient is φ = 97357345649920.

The previous prime is 245355332024281. The next prime is 245355332024351. The reversal of 245355332024300 is 3420233553542.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 866471 + ... + 22168929.

It is an arithmetic number, because the mean of its divisors is an integer number (7453997034750).

Almost surely, 2^{245355332024300} is an apocalyptic number.

245355332024300 is a gapful number since it is divisible by the number (20) 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 245355332024300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268343893251000).

245355332024300 is an abundant number, since it is smaller than the sum of its proper divisors (291332454477700).

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

245355332024300 is a wasteful number, since it uses less digits than its factorization.

245355332024300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21303395 (or 21303388 counting only the distinct ones).

The product of its (nonzero) digits is 1296000, while the sum is 41.

Adding to 245355332024300 its reverse (3420233553542), we get a palindrome (248775565577842).

The spelling of 245355332024300 in words is "two hundred forty-five trillion, three hundred fifty-five billion, three hundred thirty-two million, twenty-four thousand, three hundred".