245315605712000 has 128 divisors (see below), whose sum is σ = 609965569465200. Its totient is φ = 98118255206400.

The previous prime is 245315605711901. The next prime is 245315605712077. The reversal of 245315605712000 is 217506513542.

245315605712000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 22202114695744 + 223113491016256 = 4711912^2 + 14936984^2 .

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 197926214 + ... + 199161786.

Almost surely, 2^{245315605712000} is an apocalyptic number.

245315605712000 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 245315605712000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304982784732600).

245315605712000 is an abundant number, since it is smaller than the sum of its proper divisors (364649963753200).

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

245315605712000 is a wasteful number, since it uses less digits than its factorization.

245315605712000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1248011 (or 1247989 counting only the distinct ones).

The product of its (nonzero) digits is 252000, while the sum is 41.

The spelling of 245315605712000 in words is "two hundred forty-five trillion, three hundred fifteen billion, six hundred five million, seven hundred twelve thousand".