221058516672 has 168 divisors, whose sum is σ = 724446912800. Its totient is φ = 63132991488.

The previous prime is 221058516671. The next prime is 221058516689. The reversal of 221058516672 is 276615850122.

221058516672 is a `hidden beast` number, since 2 + 2 + 1 + 0 + 585 + 1 + 6 + 67 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is not an unprimeable number, because it can be changed into a prime (221058516671) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10831854 + ... + 10852242.

Almost surely, 2^221058516672 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 221058516672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362223456400).

221058516672 is an abundant number, since it is smaller than the sum of its proper divisors (503388396128).

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

221058516672 is a wasteful number, since it uses less digits than its factorization.

221058516672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23103 (or 23090 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 221058516672 in words is "two hundred twenty-one billion, fifty-eight million, five hundred sixteen thousand, six hundred seventy-two".