30909288312 has 640 divisors, whose sum is σ = 109771200000. Its totient is φ = 7927041024.

The previous prime is 30909288281. The next prime is 30909288313. The reversal of 30909288312 is 21388290903.

30909288312 is a `hidden beast` number, since 309 + 0 + 9 + 28 + 8 + 312 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30909288313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 207444814 + ... + 207444962.

It is an arithmetic number, because the mean of its divisors is an integer number (171517500).

Almost surely, 2^30909288312 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 30909288312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54885600000).

30909288312 is an abundant number, since it is smaller than the sum of its proper divisors (78861911688).

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

30909288312 is a wasteful number, since it uses less digits than its factorization.

30909288312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305 (or 292 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 30909288312 in words is "thirty billion, nine hundred nine million, two hundred eighty-eight thousand, three hundred twelve".