221361335416 has 64 divisors (see below), whose sum is σ = 449676057600. Its totient is φ = 101552227200.

The previous prime is 221361335399. The next prime is 221361335473. The reversal of 221361335416 is 614533163122.

221361335416 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12363831 + ... + 12381721.

It is an arithmetic number, because the mean of its divisors is an integer number (7026188400).

Almost surely, 2^221361335416 is an apocalyptic number.

221361335416 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

221361335416 is an abundant number, since it is smaller than the sum of its proper divisors (228314722184).

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

221361335416 is a wasteful number, since it uses less digits than its factorization.

221361335416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18620 (or 18616 counting only the distinct ones).

The product of its digits is 77760, while the sum is 37.

Adding to 221361335416 its reverse (614533163122), we get a palindrome (835894498538).

The spelling of 221361335416 in words is "two hundred twenty-one billion, three hundred sixty-one million, three hundred thirty-five thousand, four hundred sixteen".