6317149060992 has 768 divisors, whose sum is σ = 21707671334400. Its totient is φ = 1609109913600.

The previous prime is 6317149060949. The next prime is 6317149060993. The reversal of 6317149060992 is 2990609417136.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6317149060993) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6426397333 + ... + 6426398315.

It is an arithmetic number, because the mean of its divisors is an integer number (28265197050).

Almost surely, 2^{6317149060992} 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 6317149060992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10853835667200).

6317149060992 is an abundant number, since it is smaller than the sum of its proper divisors (15390522273408).

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

6317149060992 is a wasteful number, since it uses less digits than its factorization.

6317149060992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1595 (or 1576 counting only the distinct ones).

The product of its (nonzero) digits is 4408992, while the sum is 57.

The spelling of 6317149060992 in words is "six trillion, three hundred seventeen billion, one hundred forty-nine million, sixty thousand, nine hundred ninety-two".