245922216224256 has 1920 divisors, whose sum is σ = 885998847444480. Its totient is φ = 66383600025600.

The previous prime is 245922216224239. The next prime is 245922216224257. The reversal of 245922216224256 is 652422612229542.

245922216224256 is a `hidden beast` number, since 2 + 4 + 5 + 9 + 2 + 2 + 2 + 1 + 622 + 4 + 2 + 5 + 6 = 666.

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

Its product of digits (16588800) is a multiple of the sum of its prime divisors (810).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (245922216224257) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 372045712566 + ... + 372045713226.

It is an arithmetic number, because the mean of its divisors is an integer number (461457733044).

Almost surely, 2^{245922216224256} is an apocalyptic number.

245922216224256 is a gapful number since it is divisible by the number (26) 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 245922216224256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (442999423722240).

245922216224256 is an abundant number, since it is smaller than the sum of its proper divisors (640076631220224).

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

245922216224256 is a wasteful number, since it uses less digits than its factorization.

245922216224256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 885 (or 810 counting only the distinct ones).

The product of its digits is 16588800, while the sum is 54.

The spelling of 245922216224256 in words is "two hundred forty-five trillion, nine hundred twenty-two billion, two hundred sixteen million, two hundred twenty-four thousand, two hundred fifty-six".