221220334224144 has 120 divisors (see below), whose sum is σ = 619728087712032. Its totient is φ = 73666473269760.

The previous prime is 221220334224103. The next prime is 221220334224161. The reversal of 221220334224144 is 441422433022122.

221220334224144 is a `hidden beast` number, since 2 + 2 + 1 + 2 + 203 + 34 + 2 + 2 + 414 + 4 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 221220334224099 and 221220334224108.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1257124324 + ... + 1257300284.

Almost surely, 2^{221220334224144} is an apocalyptic number.

221220334224144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

221220334224144 is an abundant number, since it is smaller than the sum of its proper divisors (398507753487888).

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

221220334224144 is a wasteful number, since it uses less digits than its factorization.

221220334224144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184645 (or 184636 counting only the distinct ones).

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

Adding to 221220334224144 its reverse (441422433022122), we get a palindrome (662642767246266).

The spelling of 221220334224144 in words is "two hundred twenty-one trillion, two hundred twenty billion, three hundred thirty-four million, two hundred twenty-four thousand, one hundred forty-four".