6331579485168 has 320 divisors, whose sum is σ = 18987266514944. Its totient is φ = 1780859520000.

The previous prime is 6331579485131. The next prime is 6331579485229. The reversal of 6331579485168 is 8615849751336.

It is a Cunningham number, because it is equal to 2516263²-1.

It is a junction number, because it is equal to n+sod(n) for n = 6331579485099 and 6331579485108.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3039643455 + ... + 3039645537.

Almost surely, 2^{6331579485168} 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 6331579485168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9493633257472).

6331579485168 is an abundant number, since it is smaller than the sum of its proper divisors (12655687029776).

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

6331579485168 is a wasteful number, since it uses less digits than its factorization.

6331579485168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2764 (or 2758 counting only the distinct ones).

The product of its digits is 130636800, while the sum is 66.

The spelling of 6331579485168 in words is "six trillion, three hundred thirty-one billion, five hundred seventy-nine million, four hundred eighty-five thousand, one hundred sixty-eight".