6311442336 has 96 divisors (see below), whose sum is σ = 16795537920. Its totient is φ = 2075049984.

The previous prime is 6311442299. The next prime is 6311442343. The reversal of 6311442336 is 6332441136.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a junction number, because it is equal to n+sod(n) for n = 6311442297 and 6311442306.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2417800 + ... + 2420408.

It is an arithmetic number, because the mean of its divisors is an integer number (174953520).

Almost surely, 2^6311442336 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 6311442336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8397768960).

6311442336 is an abundant number, since it is smaller than the sum of its proper divisors (10484095584).

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

6311442336 is a wasteful number, since it uses less digits than its factorization.

6311442336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2958 (or 2950 counting only the distinct ones).

The product of its digits is 31104, while the sum is 33.

The square root of 6311442336 is about 79444.5865745426. The cubic root of 6311442336 is about 1848.0322233470.

The spelling of 6311442336 in words is "six billion, three hundred eleven million, four hundred forty-two thousand, three hundred thirty-six".