309713442912 has 240 divisors, whose sum is σ = 933552829440. Its totient is φ = 100697395968.

The previous prime is 309713442811. The next prime is 309713443009. The reversal of 309713442912 is 219244317903.

309713442912 is a `hidden beast` number, since 3 + 0 + 97 + 134 + 429 + 1 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 16986633 + ... + 17004855.

It is an arithmetic number, because the mean of its divisors is an integer number (3889803456).

Almost surely, 2^309713442912 is an apocalyptic number.

309713442912 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 309713442912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (466776414720).

309713442912 is an abundant number, since it is smaller than the sum of its proper divisors (623839386528).

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

309713442912 is a wasteful number, since it uses less digits than its factorization.

309713442912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18407 (or 18390 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 309713442912 in words is "three hundred nine billion, seven hundred thirteen million, four hundred forty-two thousand, nine hundred twelve".