8413612682112 has 384 divisors, whose sum is σ = 26817107166720. Its totient is φ = 2510568345600.

The previous prime is 8413612682093. The next prime is 8413612682129. The reversal of 8413612682112 is 2112862163148.

8413612682112 is a `hidden beast` number, since 8 + 4 + 1 + 3 + 612 + 6 + 8 + 21 + 1 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 789042093 + ... + 789052755.

It is an arithmetic number, because the mean of its divisors is an integer number (69836216580).

Almost surely, 2^{8413612682112} 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 8413612682112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13408553583360).

8413612682112 is an abundant number, since it is smaller than the sum of its proper divisors (18403494484608).

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

8413612682112 is a wasteful number, since it uses less digits than its factorization.

8413612682112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11642 (or 11627 counting only the distinct ones).

The product of its digits is 221184, while the sum is 45.

The spelling of 8413612682112 in words is "eight trillion, four hundred thirteen billion, six hundred twelve million, six hundred eighty-two thousand, one hundred twelve".