221165195472 has 200 divisors, whose sum is σ = 719329209984. Its totient is φ = 65091983616.

The previous prime is 221165195467. The next prime is 221165195497. The reversal of 221165195472 is 274591561122.

221165195472 is a `hidden beast` number, since 2 + 2 + 1 + 16 + 519 + 54 + 72 = 666.

221165195472 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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 39 ways as a sum of consecutive naturals, for example, 102133 + ... + 672875.

Almost surely, 2^221165195472 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221165195472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359664604992).

221165195472 is an abundant number, since it is smaller than the sum of its proper divisors (498164014512).

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

221165195472 is a wasteful number, since it uses less digits than its factorization.

221165195472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 570799 (or 570784 counting only the distinct ones).

The product of its digits is 302400, while the sum is 45.

The spelling of 221165195472 in words is "two hundred twenty-one billion, one hundred sixty-five million, one hundred ninety-five thousand, four hundred seventy-two".