245213040000 has 320 divisors, whose sum is σ = 815534945280. Its totient is φ = 65260800000.

The previous prime is 245213039989. The next prime is 245213040013. The reversal of 245213040000 is 40312542.

It is a tau number, because it is divible by the number of its divisors (320).

It is a congruent number.

It is an unprimeable number.

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, 237839485 + ... + 237840515.

It is an arithmetic number, because the mean of its divisors is an integer number (2548546704).

Almost surely, 2^245213040000 is an apocalyptic number.

245213040000 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 245213040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (407767472640).

245213040000 is an abundant number, since it is smaller than the sum of its proper divisors (570321905280).

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

245213040000 is an equidigital number, since it uses as much as digits as its factorization.

245213040000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2059 (or 2032 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

Adding to 245213040000 its reverse (40312542), we get a palindrome (245253352542).

The spelling of 245213040000 in words is "two hundred forty-five billion, two hundred thirteen million, forty thousand".