6312344432136 has 128 divisors (see below), whose sum is σ = 16748099827200. Its totient is φ = 1979057848320.

The previous prime is 6312344432131. The next prime is 6312344432167.

6312344432136 is nontrivially palindromic in base 10.

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

It is not an unprimeable number, because it can be changed into a prime (6312344432131) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19040385 + ... + 19369071.

It is an arithmetic number, because the mean of its divisors is an integer number (130844529900).

Almost surely, 2^{6312344432136} 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 6312344432136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8374049913600).

6312344432136 is an abundant number, since it is smaller than the sum of its proper divisors (10435755395064).

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

6312344432136 is a wasteful number, since it uses less digits than its factorization.

6312344432136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 329439 (or 329435 counting only the distinct ones).

The product of its digits is 746496, while the sum is 42.

The spelling of 6312344432136 in words is "six trillion, three hundred twelve billion, three hundred forty-four million, four hundred thirty-two thousand, one hundred thirty-six".