221809969152 has 108 divisors (see below), whose sum is σ = 640812639285. Its totient is φ = 73915342848.

The previous prime is 221809969103. The next prime is 221809969187. The reversal of 221809969152 is 251969908122.

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.

It can be written as a sum of positive squares in 2 ways, for example, as 147529737216 + 74280231936 = 384096^2 + 272544^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=333024.

It is a super-2 number, since 2×221809969152² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 63938874 + ... + 63942342.

Almost surely, 2^221809969152 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 221809969152

221809969152 is an abundant number, since it is smaller than the sum of its proper divisors (419002670133).

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

221809969152 is an frugal number, since it uses more digits than its factorization.

221809969152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6966 (or 3474 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 54.

The spelling of 221809969152 in words is "two hundred twenty-one billion, eight hundred nine million, nine hundred sixty-nine thousand, one hundred fifty-two".