4312146412134 has 144 divisors (see below), whose sum is σ = 10969890278256. Its totient is φ = 1218960906240.

The previous prime is 4312146412097. The next prime is 4312146412157.

It is a happy number.

4312146412134 is a `hidden beast` number, since 4 + 3 + 1 + 2 + 1 + 4 + 641 + 2 + 1 + 3 + 4 = 666.

4312146412134 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3668617 + ... + 4699259.

It is an arithmetic number, because the mean of its divisors is an integer number (76179793599).

Almost surely, 2^{4312146412134} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4312146412134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5484945139128).

4312146412134 is an abundant number, since it is smaller than the sum of its proper divisors (6657743866122).

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

4312146412134 is a wasteful number, since it uses less digits than its factorization.

4312146412134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1030803 (or 1030789 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The spelling of 4312146412134 in words is "four trillion, three hundred twelve billion, one hundred forty-six million, four hundred twelve thousand, one hundred thirty-four".