245202235432000 has 448 divisors, whose sum is σ = 758063481177600. Its totient is φ = 76327652352000.

The previous prime is 245202235431851. The next prime is 245202235432003. The reversal of 245202235432000 is 234532202542.

It is a tau number, because it is divible by the number of its divisors (448).

It is not an unprimeable number, because it can be changed into a prime (245202235432003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 475910526 + ... + 476425474.

Almost surely, 2^{245202235432000} is an apocalyptic number.

245202235432000 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 245202235432000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (379031740588800).

245202235432000 is an abundant number, since it is smaller than the sum of its proper divisors (512861245745600).

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

245202235432000 is a wasteful number, since it uses less digits than its factorization.

245202235432000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 515767 (or 515747 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 34.

Adding to 245202235432000 its reverse (234532202542), we get a palindrome (245436767634542).

The spelling of 245202235432000 in words is "two hundred forty-five trillion, two hundred two billion, two hundred thirty-five million, four hundred thirty-two thousand".