221873914368 has 270 divisors, whose sum is σ = 667535312301. Its totient is φ = 73670197248.

The previous prime is 221873914349. The next prime is 221873914373. The reversal of 221873914368 is 863419378122.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

221873914368 is a `hidden beast` number, since 2 + 218 + 7 + 391 + 4 + 36 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 138348290304 + 83525624064 = 371952^2 + 289008^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=333072.

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

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 863322496 + ... + 863322752.

Almost surely, 2^221873914368 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221873914368

221873914368 is an abundant number, since it is smaller than the sum of its proper divisors (445661397933).

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

221873914368 is an frugal number, since it uses more digits than its factorization.

221873914368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 556 (or 262 counting only the distinct ones).

The product of its digits is 3483648, while the sum is 54.

The spelling of 221873914368 in words is "two hundred twenty-one billion, eight hundred seventy-three million, nine hundred fourteen thousand, three hundred sixty-eight".