306944085120 has 256 divisors, whose sum is σ = 989327278080. Its totient is φ = 80940625920.

The previous prime is 306944085109. The next prime is 306944085127. The reversal of 306944085120 is 21580449603.

It is not an unprimeable number, because it can be changed into a prime (306944085127) 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 31 ways as a sum of consecutive naturals, for example, 80709139 + ... + 80712941.

It is an arithmetic number, because the mean of its divisors is an integer number (3864559680).

Almost surely, 2^306944085120 is an apocalyptic number.

306944085120 is a gapful number since it is divisible by the number (30) 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 306944085120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (494663639040).

306944085120 is an abundant number, since it is smaller than the sum of its proper divisors (682383192960).

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

306944085120 is a wasteful number, since it uses less digits than its factorization.

306944085120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4283 (or 4271 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 42.

The spelling of 306944085120 in words is "three hundred six billion, nine hundred forty-four million, eighty-five thousand, one hundred twenty".