221416356230304 has 48 divisors (see below), whose sum is σ = 583712432739072. Its totient is φ = 73488690472448.

The previous prime is 221416356230299. The next prime is 221416356230309. The reversal of 221416356230304 is 403032653614122.

It is an interprime number because it is at equal distance from previous prime (221416356230299) and next prime (221416356230309).

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (221416356230309) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4949377584 + ... + 4949422319.

It is an arithmetic number, because the mean of its divisors is an integer number (12160675682064).

Almost surely, 2^{221416356230304} is an apocalyptic number.

221416356230304 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

221416356230304 is an abundant number, since it is smaller than the sum of its proper divisors (362296076508768).

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

221416356230304 is a wasteful number, since it uses less digits than its factorization.

221416356230304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9898800149 (or 9898800141 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 42.

The spelling of 221416356230304 in words is "two hundred twenty-one trillion, four hundred sixteen billion, three hundred fifty-six million, two hundred thirty thousand, three hundred four".