221655700065672 has 48 divisors (see below), whose sum is σ = 600479725872780. Its totient is φ = 73865269680000.

The previous prime is 221655700065623. The next prime is 221655700065703. The reversal of 221655700065672 is 276560007556122.

221655700065672 is a `hidden beast` number, since 2 + 2 + 1 + 6 + 5 + 5 + 70 + 0 + 0 + 6 + 567 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 217687420926756 + 3968279138916 = 14754234^2 + 1992054^2 .

It is a super-3 number, since 3×221655700065672³ (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 415641579 + ... + 416174522.

Almost surely, 2^{221655700065672} is an apocalyptic number.

It is an amenable number.

221655700065672 is an abundant number, since it is smaller than the sum of its proper divisors (378824025807108).

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

221655700065672 is a wasteful number, since it uses less digits than its factorization.

221655700065672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 831819814 (or 831819807 counting only the distinct ones).

The product of its (nonzero) digits is 10584000, while the sum is 54.

The spelling of 221655700065672 in words is "two hundred twenty-one trillion, six hundred fifty-five billion, seven hundred million, sixty-five thousand, six hundred seventy-two".