245080228800 has 336 divisors, whose sum is σ = 878321140992. Its totient is φ = 59335065600.

The previous prime is 245080228793. The next prime is 245080228807. The reversal of 245080228800 is 8822080542.

245080228800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (245080228793) and next prime (245080228807).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (245080228807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 46830984 + ... + 46836216.

Almost surely, 2^245080228800 is an apocalyptic number.

245080228800 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 245080228800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (439160570496).

245080228800 is an abundant number, since it is smaller than the sum of its proper divisors (633240912192).

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

245080228800 is a wasteful number, since it uses less digits than its factorization.

245080228800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6156 (or 6141 counting only the distinct ones).

The product of its (nonzero) digits is 81920, while the sum is 39.

The spelling of 245080228800 in words is "two hundred forty-five billion, eighty million, two hundred twenty-eight thousand, eight hundred".