221408477568 has 64 divisors (see below), whose sum is σ = 653462530800. Its totient is φ = 73802824704.

The previous prime is 221408477561. The next prime is 221408477617. The reversal of 221408477568 is 865774804122.

221408477568 is a `hidden beast` number, since 2 + 2 + 1 + 4 + 0 + 8 + 4 + 77 + 568 = 666.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221408477561) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 32029021 + ... + 32035932.

Almost surely, 2^221408477568 is an apocalyptic number.

It is an amenable number.

221408477568 is an abundant number, since it is smaller than the sum of its proper divisors (432054053232).

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

221408477568 is an equidigital number, since it uses as much as digits as its factorization.

221408477568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64064976 (or 64064958 counting only the distinct ones).

The product of its (nonzero) digits is 6021120, while the sum is 54.

The spelling of 221408477568 in words is "two hundred twenty-one billion, four hundred eight million, four hundred seventy-seven thousand, five hundred sixty-eight".