306903909312 has 2240 divisors, whose sum is σ = 1338330470400. Its totient is φ = 68279500800.

The previous prime is 306903909271. The next prime is 306903909337. The reversal of 306903909312 is 213909309603.

It is a congruent number.

It is an unprimeable number.

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 319 ways as a sum of consecutive naturals, for example, 4322590237 + ... + 4322590307.

It is an arithmetic number, because the mean of its divisors is an integer number (597468960).

Almost surely, 2^306903909312 is an apocalyptic number.

306903909312 is a gapful number since it is divisible by the number (32) 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 306903909312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (669165235200).

306903909312 is an abundant number, since it is smaller than the sum of its proper divisors (1031426561088).

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

306903909312 is a wasteful number, since it uses less digits than its factorization.

306903909312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 236196, while the sum is 45.

The spelling of 306903909312 in words is "three hundred six billion, nine hundred three million, nine hundred nine thousand, three hundred twelve".