221682106368 has 400 divisors, whose sum is σ = 703692613635. Its totient is φ = 69547327488.

The previous prime is 221682106343. The next prime is 221682106417. The reversal of 221682106368 is 863601286122.

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.

221682106368 is a `hidden beast` number, since 2 + 2 + 1 + 6 + 8 + 2 + 1 + 0 + 636 + 8 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 213399650304 + 8282456064 = 461952^2 + 91008^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=332928.

It is an unprimeable number.

It is a polite number, since it can be written in 24 ways as a sum of consecutive naturals, for example, 13040123896 + ... + 13040123912.

Almost surely, 2^221682106368 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 221682106368

221682106368 is an abundant number, since it is smaller than the sum of its proper divisors (482010507267).

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

221682106368 is an frugal number, since it uses more digits than its factorization.

221682106368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 22 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 221682106368 in words is "two hundred twenty-one billion, six hundred eighty-two million, one hundred six thousand, three hundred sixty-eight".