221567661765672 has 32 divisors (see below), whose sum is σ = 568889942373600. Its totient is φ = 71859782193984.

The previous prime is 221567661765641. The next prime is 221567661765689. The reversal of 221567661765672 is 276567166765122.

It is a happy number.

221567661765672 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×221567661765672³ (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 221567661765597 and 221567661765606.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 124756565422 + ... + 124756567197.

It is an arithmetic number, because the mean of its divisors is an integer number (17777810699175).

Almost surely, 2^{221567661765672} is an apocalyptic number.

It is an amenable number.

221567661765672 is an abundant number, since it is smaller than the sum of its proper divisors (347322280607928).

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

221567661765672 is a wasteful number, since it uses less digits than its factorization.

221567661765672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249513132665 (or 249513132661 counting only the distinct ones).

The product of its digits is 533433600, while the sum is 69.

The spelling of 221567661765672 in words is "two hundred twenty-one trillion, five hundred sixty-seven billion, six hundred sixty-one million, seven hundred sixty-five thousand, six hundred seventy-two".