3086413216128 has 192 divisors, whose sum is σ = 9695183032080. Its totient is φ = 934668533760.

The previous prime is 3086413216123. The next prime is 3086413216151. The reversal of 3086413216128 is 8216123146803.

3086413216128 is a `hidden beast` number, since 3 + 0 + 8 + 6 + 4 + 1 + 3 + 21 + 612 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3086413216123) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 19601200 + ... + 19758032.

Almost surely, 2^{3086413216128} 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 3086413216128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4847591516040).

3086413216128 is an abundant number, since it is smaller than the sum of its proper divisors (6608769815952).

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

3086413216128 is a wasteful number, since it uses less digits than its factorization.

3086413216128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158417 (or 158402 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 3086413216128 in words is "three trillion, eighty-six billion, four hundred thirteen million, two hundred sixteen thousand, one hundred twenty-eight".