306516931812 has 360 divisors, whose sum is σ = 1007735291640. Its totient is φ = 80524523520.

The previous prime is 306516931753. The next prime is 306516931823. The reversal of 306516931812 is 218139615603.

306516931812 is a `hidden beast` number, since 30 + 6 + 516 + 93 + 1 + 8 + 12 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 9683740836 + 296833190976 = 98406^2 + 544824^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 55515612 + ... + 55521132.

It is an arithmetic number, because the mean of its divisors is an integer number (2799264699).

Almost surely, 2^306516931812 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 306516931812, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (503867645820).

306516931812 is an abundant number, since it is smaller than the sum of its proper divisors (701218359828).

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

306516931812 is a wasteful number, since it uses less digits than its factorization.

306516931812 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5833 (or 5815 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 306516931812 in words is "three hundred six billion, five hundred sixteen million, nine hundred thirty-one thousand, eight hundred twelve".