221656476260664 has 192 divisors, whose sum is σ = 608437425960000. Its totient is φ = 72890213400576.

The previous prime is 221656476260641. The next prime is 221656476260689. The reversal of 221656476260664 is 466062674656122.

221656476260664 is a `hidden beast` number, since 2 + 2 + 1 + 6 + 564 + 7 + 6 + 2 + 6 + 0 + 6 + 64 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16145122152 + ... + 16145135880.

It is an arithmetic number, because the mean of its divisors is an integer number (3168944926875).

Almost surely, 2^{221656476260664} is an apocalyptic number.

221656476260664 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221656476260664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304218712980000).

221656476260664 is an abundant number, since it is smaller than the sum of its proper divisors (386780949699336).

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

221656476260664 is a wasteful number, since it uses less digits than its factorization.

221656476260664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19342 (or 19335 counting only the distinct ones).

The product of its (nonzero) digits is 209018880, while the sum is 63.

The spelling of 221656476260664 in words is "two hundred twenty-one trillion, six hundred fifty-six billion, four hundred seventy-six million, two hundred sixty thousand, six hundred sixty-four".