6385617348096 has 640 divisors, whose sum is σ = 21701673861120. Its totient is φ = 1624315133952.

The previous prime is 6385617348091. The next prime is 6385617348163. The reversal of 6385617348096 is 6908437165836.

It is a super-2 number, since 2×6385617348096² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6385617348091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3830603455 + ... + 3830605121.

It is an arithmetic number, because the mean of its divisors is an integer number (33908865408).

Almost surely, 2^{6385617348096} 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 6385617348096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10850836930560).

6385617348096 is an abundant number, since it is smaller than the sum of its proper divisors (15316056513024).

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

6385617348096 is a wasteful number, since it uses less digits than its factorization.

6385617348096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2834 (or 2818 counting only the distinct ones).

The product of its (nonzero) digits is 156764160, while the sum is 66.

The spelling of 6385617348096 in words is "six trillion, three hundred eighty-five billion, six hundred seventeen million, three hundred forty-eight thousand, ninety-six".