221672477265327 has 96 divisors (see below), whose sum is σ = 354226924935936. Its totient is φ = 132464433024000.

The previous prime is 221672477265301. The next prime is 221672477265347. The reversal of 221672477265327 is 723562774276122.

221672477265327 is a `hidden beast` number, since 2 + 2 + 1 + 6 + 7 + 2 + 4 + 77 + 26 + 532 + 7 = 666.

221672477265327 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 221672477265327 - 2²⁸ = 221672208829871 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221672477265347) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4717114743 + ... + 4717161735.

It is an arithmetic number, because the mean of its divisors is an integer number (3689863801416).

Almost surely, 2^{221672477265327} is an apocalyptic number.

221672477265327 is a deficient number, since it is larger than the sum of its proper divisors (132554447670609).

221672477265327 is a wasteful number, since it uses less digits than its factorization.

221672477265327 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49061 (or 49058 counting only the distinct ones).

The product of its digits is 165957120, while the sum is 63.

The spelling of 221672477265327 in words is "two hundred twenty-one trillion, six hundred seventy-two billion, four hundred seventy-seven million, two hundred sixty-five thousand, three hundred twenty-seven".