220464464022 has 96 divisors (see below), whose sum is σ = 533137812480. Its totient is φ = 65281282560.

The previous prime is 220464463913. The next prime is 220464464041.

220464464022 is a `hidden beast` number, since 2 + 2 + 0 + 4 + 6 + 4 + 4 + 640 + 2 + 2 = 666.

220464464022 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 1444623 + ... + 1589925.

It is an arithmetic number, because the mean of its divisors is an integer number (5553518880).

Almost surely, 2^220464464022 is an apocalyptic number.

220464464022 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 220464464022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266568906240).

220464464022 is an abundant number, since it is smaller than the sum of its proper divisors (312673348458).

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

220464464022 is a wasteful number, since it uses less digits than its factorization.

220464464022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145498 (or 145495 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

It can be divided in two parts, 220464 and 464022, that added together give a palindrome (684486).

The spelling of 220464464022 in words is "two hundred twenty billion, four hundred sixty-four million, four hundred sixty-four thousand, twenty-two".