221792632431616 has 99 divisors (see below), whose sum is σ = 445010446154547. Its totient is φ = 110487183851520.

The previous prime is 221792632431581. The next prime is 221792632431683. The reversal of 221792632431616 is 616134236297122.

It is a happy number.

The square root of 221792632431616 is 14892704.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 17528624358400 + 204264008073216 = 4186720^2 + 14292096^2 .

It is a Duffinian number.

Its product of digits (7838208) is a multiple of the sum of its prime factors (3456).

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 8 ways as a sum of consecutive naturals, for example, 160602919246 + ... + 160602920626.

Almost surely, 2^{221792632431616} is an apocalyptic number.

221792632431616 is the 14892704-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221792632431616

221792632431616 is an abundant number, since it is smaller than the sum of its proper divisors (223217813722931).

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

221792632431616 is an frugal number, since it uses more digits than its factorization.

221792632431616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3456 (or 1720 counting only the distinct ones).

The product of its digits is 7838208, while the sum is 55.

The spelling of 221792632431616 in words is "two hundred twenty-one trillion, seven hundred ninety-two billion, six hundred thirty-two million, four hundred thirty-one thousand, six hundred sixteen".