306289223925568 has 112 divisors (see below), whose sum is σ = 660680409097296. Its totient is φ = 140040678113280.

The previous prime is 306289223925521. The next prime is 306289223925577. The reversal of 306289223925568 is 865529322982603.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 122768881932544 + 183520341993024 = 11080112^2 + 13546968^2 .

It is a junction number, because it is equal to n+sod(n) for n = 306289223925497 and 306289223925506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 180890238 + ... + 182575618.

It is an arithmetic number, because the mean of its divisors is an integer number (5898932224083).

Almost surely, 2^{306289223925568} 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 306289223925568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330340204548648).

306289223925568 is an abundant number, since it is smaller than the sum of its proper divisors (354391185171728).

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

306289223925568 is a wasteful number, since it uses less digits than its factorization.

306289223925568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1687452 (or 1687442 counting only the distinct ones).

The product of its (nonzero) digits is 671846400, while the sum is 70.

The spelling of 306289223925568 in words is "three hundred six trillion, two hundred eighty-nine billion, two hundred twenty-three million, nine hundred twenty-five thousand, five hundred sixty-eight".