12308034816 has 972 divisors, whose sum is σ = 48950486676. Its totient is φ = 2952069120.

The previous prime is 12308034773. The next prime is 12308034821. The reversal of 12308034816 is 61843080321.

12308034816 is a `hidden beast` number, since 1 + 2 + 308 + 0 + 348 + 1 + 6 = 666.

12308034816 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 9234441216 + 3073593600 = 96096^2 + 55440^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

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 107 ways as a sum of consecutive naturals, for example, 232227046 + ... + 232227098.

It is an arithmetic number, because the mean of its divisors is an integer number (50360583).

Almost surely, 2^12308034816 is an apocalyptic number.

12308034816 is a gapful number since it is divisible by the number (16) 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 12308034816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24475243338).

12308034816 is an abundant number, since it is smaller than the sum of its proper divisors (36642451860).

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

12308034816 is a wasteful number, since it uses less digits than its factorization.

12308034816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 12308034816 in words is "twelve billion, three hundred eight million, thirty-four thousand, eight hundred sixteen".