245325350433312 has 288 divisors, whose sum is σ = 742793678827200. Its totient is φ = 76656813778944.

The previous prime is 245325350433187. The next prime is 245325350433313. The reversal of 245325350433312 is 213334053523542.

245325350433312 is a `hidden beast` number, since 2 + 4 + 5 + 3 + 253 + 50 + 4 + 33 + 312 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (245325350433313) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 143464239 + ... + 145164177.

It is an arithmetic number, because the mean of its divisors is an integer number (2579144718150).

Almost surely, 2^{245325350433312} 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 245325350433312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371396839413600).

245325350433312 is an abundant number, since it is smaller than the sum of its proper divisors (497468328393888).

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

245325350433312 is a wasteful number, since it uses less digits than its factorization.

245325350433312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1700488 (or 1700477 counting only the distinct ones).

The product of its (nonzero) digits is 3888000, while the sum is 45.

The spelling of 245325350433312 in words is "two hundred forty-five trillion, three hundred twenty-five billion, three hundred fifty million, four hundred thirty-three thousand, three hundred twelve".