221844128994 has 64 divisors (see below), whose sum is σ = 494607041280. Its totient is φ = 73705282560.

The previous prime is 221844128971. The next prime is 221844129041. The reversal of 221844128994 is 499821448122.

221844128994 is a `hidden beast` number, since 2 + 218 + 4 + 412 + 8 + 9 + 9 + 4 = 666.

221844128994 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×221844128994² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 221844128994.

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 31 ways as a sum of consecutive naturals, for example, 63183699 + ... + 63187209.

It is an arithmetic number, because the mean of its divisors is an integer number (7728235020).

Almost surely, 2^221844128994 is an apocalyptic number.

221844128994 is an abundant number, since it is smaller than the sum of its proper divisors (272762912286).

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

221844128994 is a wasteful number, since it uses less digits than its factorization.

221844128994 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7032 (or 7026 counting only the distinct ones).

The product of its digits is 2654208, while the sum is 54.

The spelling of 221844128994 in words is "two hundred twenty-one billion, eight hundred forty-four million, one hundred twenty-eight thousand, nine hundred ninety-four".