6331646461336 has 128 divisors (see below), whose sum is σ = 14192021612160. Its totient is φ = 2592044236800.

The previous prime is 6331646461279. The next prime is 6331646461391.

6331646461336 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×6331646461336² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22824426 + ... + 23100166.

It is an arithmetic number, because the mean of its divisors is an integer number (110875168845).

Almost surely, 2^{6331646461336} 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 6331646461336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7096010806080).

6331646461336 is an abundant number, since it is smaller than the sum of its proper divisors (7860375150824).

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

6331646461336 is a wasteful number, since it uses less digits than its factorization.

6331646461336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276005 (or 276001 counting only the distinct ones).

The product of its digits is 10077696, while the sum is 52.

The spelling of 6331646461336 in words is "six trillion, three hundred thirty-one billion, six hundred forty-six million, four hundred sixty-one thousand, three hundred thirty-six".