6581146891368 has 256 divisors, whose sum is σ = 19965035520000. Its totient is φ = 1805592052992.

The previous prime is 6581146891343. The next prime is 6581146891373. The reversal of 6581146891368 is 8631986411856.

It is a super-2 number, since 2×6581146891368² (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 6581146891299 and 6581146891308.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20345443 + ... + 20666381.

It is an arithmetic number, because the mean of its divisors is an integer number (77988420000).

Almost surely, 2^{6581146891368} 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 6581146891368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9982517760000).

6581146891368 is an abundant number, since it is smaller than the sum of its proper divisors (13383888628632).

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

6581146891368 is a wasteful number, since it uses less digits than its factorization.

6581146891368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 321069 (or 321051 counting only the distinct ones).

The product of its digits is 59719680, while the sum is 66.

The spelling of 6581146891368 in words is "six trillion, five hundred eighty-one billion, one hundred forty-six million, eight hundred ninety-one thousand, three hundred sixty-eight".