221688823680 has 384 divisors, whose sum is σ = 830334304800. Its totient is φ = 54281502720.

The previous prime is 221688823669. The next prime is 221688823691. The reversal of 221688823680 is 86328886122.

It is an interprime number because it is at equal distance from previous prime (221688823669) and next prime (221688823691).

It is a tau number, because it is divible by the number of its divisors (384).

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, 3987111 + ... + 4042329.

Almost surely, 2^221688823680 is an apocalyptic number.

221688823680 is a gapful number since it is divisible by the number (20) 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 221688823680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (415167152400).

221688823680 is an abundant number, since it is smaller than the sum of its proper divisors (608645481120).

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

221688823680 is a wasteful number, since it uses less digits than its factorization.

221688823680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55302 (or 55287 counting only the distinct ones).

The product of its (nonzero) digits is 3538944, while the sum is 54.

The spelling of 221688823680 in words is "two hundred twenty-one billion, six hundred eighty-eight million, eight hundred twenty-three thousand, six hundred eighty".