306221605242216 has 128 divisors (see below), whose sum is σ = 792760007270400. Its totient is φ = 98467418016000.

The previous prime is 306221605242187. The next prime is 306221605242251. The reversal of 306221605242216 is 612242506122603.

It is a super-2 number, since 2×306221605242216² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1640271165 + ... + 1640457843.

It is an arithmetic number, because the mean of its divisors is an integer number (6193437556800).

Almost surely, 2^{306221605242216} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 306221605242216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (396380003635200).

306221605242216 is an abundant number, since it is smaller than the sum of its proper divisors (486538402028184).

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

306221605242216 is a wasteful number, since it uses less digits than its factorization.

306221605242216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193711 (or 193707 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 42.

The spelling of 306221605242216 in words is "three hundred six trillion, two hundred twenty-one billion, six hundred five million, two hundred forty-two thousand, two hundred sixteen".