220043227161024 has 448 divisors, whose sum is σ = 677160456192000. Its totient is φ = 69935679728640.

The previous prime is 220043227161011. The next prime is 220043227161103. The reversal of 220043227161024 is 420161722340022.

220043227161024 is a `hidden beast` number, since 2 + 2 + 0 + 0 + 4 + 32 + 2 + 7 + 1 + 610 + 2 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 220043227161024.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 22594021947 + ... + 22594031685.

Almost surely, 2^{220043227161024} is an apocalyptic number.

220043227161024 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 220043227161024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338580228096000).

220043227161024 is an abundant number, since it is smaller than the sum of its proper divisors (457117229030976).

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

220043227161024 is a wasteful number, since it uses less digits than its factorization.

220043227161024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11533 (or 11517 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The spelling of 220043227161024 in words is "two hundred twenty trillion, forty-three billion, two hundred twenty-seven million, one hundred sixty-one thousand, twenty-four".