221965361424 has 225 divisors, whose sum is σ = 672760766293. Its totient is φ = 70647185664.

The previous prime is 221965361353. The next prime is 221965361459. The reversal of 221965361424 is 424163569122.

The square root of 221965361424 is 471132.

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

221965361424 is a `hidden beast` number, since 2 + 2 + 1 + 9 + 6 + 5 + 3 + 614 + 24 = 666.

It can be written as a sum of positive squares in only one way, i.e., 36583447824 + 185381913600 = 191268^2 + 430560^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 221965361424.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 390097012 + ... + 390097580.

Almost surely, 2^221965361424 is an apocalyptic number.

221965361424 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

221965361424 is the 471132-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221965361424

221965361424 is an abundant number, since it is smaller than the sum of its proper divisors (450795404869).

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

221965361424 is an frugal number, since it uses more digits than its factorization.

221965361424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1204 (or 597 counting only the distinct ones).

The product of its digits is 622080, while the sum is 45.

The spelling of 221965361424 in words is "two hundred twenty-one billion, nine hundred sixty-five million, three hundred sixty-one thousand, four hundred twenty-four".