220256843594304 has 448 divisors, whose sum is σ = 695042587828224. Its totient is φ = 60775280640000.

The previous prime is 220256843594303. The next prime is 220256843594311. The reversal of 220256843594304 is 403495348652022.

It is not an unprimeable number, because it can be changed into a prime (220256843594303) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4375272174 + ... + 4375322514.

Almost surely, 2^{220256843594304} is an apocalyptic number.

220256843594304 is a gapful number since it is divisible by the number (24) 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 220256843594304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347521293914112).

220256843594304 is an abundant number, since it is smaller than the sum of its proper divisors (474785744233920).

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

220256843594304 is a wasteful number, since it uses less digits than its factorization.

220256843594304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54346 (or 54336 counting only the distinct ones).

The product of its (nonzero) digits is 49766400, while the sum is 57.

The spelling of 220256843594304 in words is "two hundred twenty trillion, two hundred fifty-six billion, eight hundred forty-three million, five hundred ninety-four thousand, three hundred four".