245340845568 has 1200 divisors, whose sum is σ = 945906114384. Its totient is φ = 62705664000.

The previous prime is 245340845567. The next prime is 245340845639. The reversal of 245340845568 is 865548043542.

245340845568 is a `hidden beast` number, since 2 + 4 + 5 + 3 + 4 + 0 + 84 + 556 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (245340845567) 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 119 ways as a sum of consecutive naturals, for example, 977453443 + ... + 977453693.

Almost surely, 2^245340845568 is an apocalyptic number.

245340845568 is a gapful number since it is divisible by the number (28) 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 245340845568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (472953057192).

245340845568 is an abundant number, since it is smaller than the sum of its proper divisors (700565268816).

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

245340845568 is a wasteful number, since it uses less digits than its factorization.

245340845568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 345 (or 313 counting only the distinct ones).

The product of its (nonzero) digits is 18432000, while the sum is 54.

The spelling of 245340845568 in words is "two hundred forty-five billion, three hundred forty million, eight hundred forty-five thousand, five hundred sixty-eight".