220842543744 has 1024 divisors, whose sum is σ = 761425920000. Its totient is φ = 62626037760.

The previous prime is 220842543673. The next prime is 220842543791. The reversal of 220842543744 is 447345248022.

220842543744 is a `hidden beast` number, since 2 + 20 + 8 + 4 + 254 + 374 + 4 = 666.

220842543744 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 220842543744.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 2481376852 + ... + 2481376940.

It is an arithmetic number, because the mean of its divisors is an integer number (743580000).

Almost surely, 2^220842543744 is an apocalyptic number.

220842543744 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 220842543744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (380712960000).

220842543744 is an abundant number, since it is smaller than the sum of its proper divisors (540583376256).

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

220842543744 is a wasteful number, since it uses less digits than its factorization.

220842543744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 1720320, while the sum is 45.

The spelling of 220842543744 in words is "two hundred twenty billion, eight hundred forty-two million, five hundred forty-three thousand, seven hundred forty-four".