221312238336 has 864 divisors, whose sum is σ = 831393239040. Its totient is φ = 57250271232.

The previous prime is 221312238293. The next prime is 221312238401. The reversal of 221312238336 is 633832213122.

221312238336 is a `hidden beast` number, since 2 + 2 + 1 + 312 + 2 + 3 + 8 + 336 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 221312238336.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 190293691 + ... + 190294853.

Almost surely, 2^221312238336 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 221312238336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (415696619520).

221312238336 is an abundant number, since it is smaller than the sum of its proper divisors (610081000704).

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

221312238336 is a wasteful number, since it uses less digits than its factorization.

221312238336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1243 (or 1217 counting only the distinct ones).

The product of its digits is 62208, while the sum is 36.

The spelling of 221312238336 in words is "two hundred twenty-one billion, three hundred twelve million, two hundred thirty-eight thousand, three hundred thirty-six".