309935854584312 has 768 divisors, whose sum is σ = 903831602688000. Its totient is φ = 88375137607680.

The previous prime is 309935854584311. The next prime is 309935854584353. The reversal of 309935854584312 is 213485458539903.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (309935854584311) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 178843538998 + ... + 178843540730.

It is an arithmetic number, because the mean of its divisors is an integer number (1176864066000).

Almost surely, 2^{309935854584312} 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 309935854584312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (451915801344000).

309935854584312 is an abundant number, since it is smaller than the sum of its proper divisors (593895748103688).

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

309935854584312 is a wasteful number, since it uses less digits than its factorization.

309935854584312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2212 (or 2197 counting only the distinct ones).

The product of its (nonzero) digits is 559872000, while the sum is 69.

The spelling of 309935854584312 in words is "three hundred nine trillion, nine hundred thirty-five billion, eight hundred fifty-four million, five hundred eighty-four thousand, three hundred twelve".