220823481744 has 480 divisors, whose sum is σ = 677776619520. Its totient is φ = 69527517696.

The previous prime is 220823481737. The next prime is 220823481757. The reversal of 220823481744 is 447184328022.

220823481744 is a `hidden beast` number, since 2 + 20 + 82 + 3 + 481 + 74 + 4 = 666.

220823481744 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 220823481744.

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 95 ways as a sum of consecutive naturals, for example, 1233650647 + ... + 1233650825.

It is an arithmetic number, because the mean of its divisors is an integer number (1412034624).

Almost surely, 2^220823481744 is an apocalyptic number.

220823481744 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 220823481744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338888309760).

220823481744 is an abundant number, since it is smaller than the sum of its proper divisors (456953137776).

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

220823481744 is a wasteful number, since it uses less digits than its factorization.

220823481744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 449 (or 431 counting only the distinct ones).

The product of its (nonzero) digits is 688128, while the sum is 45.

The spelling of 220823481744 in words is "two hundred twenty billion, eight hundred twenty-three million, four hundred eighty-one thousand, seven hundred forty-four".