221460595216 has 65 divisors (see below), whose sum is σ = 500593220431. Its totient is φ = 94911683664.

The previous prime is 221460595201. The next prime is 221460595247. The reversal of 221460595216 is 612595064122.

The square root of 221460595216 is 470596.

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

It is a Duffinian number.

It is a nialpdrome in base 7.

It is a zygodrome in base 7.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 12 ways as a sum of consecutive naturals, for example, 31637227885 + ... + 31637227891.

Almost surely, 2^221460595216 is an apocalyptic number.

221460595216 is the 470596-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221460595216

221460595216 is an abundant number, since it is smaller than the sum of its proper divisors (279132625215).

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

221460595216 is an frugal number, since it uses more digits than its factorization.

221460595216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 9 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 43.

The spelling of 221460595216 in words is "two hundred twenty-one billion, four hundred sixty million, five hundred ninety-five thousand, two hundred sixteen".