245967220000 has 240 divisors, whose sum is σ = 646686837720. Its totient is φ = 91736064000.

The previous prime is 245967219997. The next prime is 245967220007. The reversal of 245967220000 is 22769542.

It is a happy number.

It can be written as a sum of positive squares in 20 ways, for example, as 116600395024 + 129366824976 = 341468^2 + 359676^2 .

It is not an unprimeable number, because it can be changed into a prime (245967220007) 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 39 ways as a sum of consecutive naturals, for example, 37056682 + ... + 37063318.

Almost surely, 2^245967220000 is an apocalyptic number.

245967220000 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 245967220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323343418860).

245967220000 is an abundant number, since it is smaller than the sum of its proper divisors (400719617720).

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

245967220000 is a wasteful number, since it uses less digits than its factorization.

245967220000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6793 (or 6770 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 37.

Adding to 245967220000 its reverse (22769542), we get a palindrome (245989989542).

The spelling of 245967220000 in words is "two hundred forty-five billion, nine hundred sixty-seven million, two hundred twenty thousand".