221068162732032 has 3328 divisors, whose sum is σ = 887017203302400. Its totient is φ = 52728496128000.

The previous prime is 221068162732009. The next prime is 221068162732093. The reversal of 221068162732032 is 230237261860122.

221068162732032 is a `hidden beast` number, since 2 + 2 + 10 + 6 + 8 + 1 + 627 + 3 + 2 + 0 + 3 + 2 = 666.

It is a super-2 number, since 2×221068162732032² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 512919170857 + ... + 512919171287.

Almost surely, 2^{221068162732032} is an apocalyptic number.

221068162732032 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221068162732032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (443508601651200).

221068162732032 is an abundant number, since it is smaller than the sum of its proper divisors (665949040570368).

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

221068162732032 is a wasteful number, since it uses less digits than its factorization.

221068162732032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 609 (or 581 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 221068162732032 in words is "two hundred twenty-one trillion, sixty-eight billion, one hundred sixty-two million, seven hundred thirty-two thousand, thirty-two".