221331305599272 has 192 divisors, whose sum is σ = 678219857602560. Its totient is φ = 67063496011200.

The previous prime is 221331305599207. The next prime is 221331305599297. The reversal of 221331305599272 is 272995503133122.

221331305599272 is a `hidden beast` number, since 2 + 2 + 1 + 3 + 3 + 13 + 0 + 559 + 9 + 2 + 72 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 219131203 + ... + 220138925.

It is an arithmetic number, because the mean of its divisors is an integer number (3532395091680).

Almost surely, 2^{221331305599272} is an apocalyptic number.

221331305599272 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 221331305599272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339109928801280).

221331305599272 is an abundant number, since it is smaller than the sum of its proper divisors (456888552003288).

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

221331305599272 is a wasteful number, since it uses less digits than its factorization.

221331305599272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1018026 (or 1018010 counting only the distinct ones).

The product of its (nonzero) digits is 6123600, while the sum is 54.

The spelling of 221331305599272 in words is "two hundred twenty-one trillion, three hundred thirty-one billion, three hundred five million, five hundred ninety-nine thousand, two hundred seventy-two".