605871693563136 has 5760 divisors, whose sum is σ = 2482011443036160. Its totient is φ = 128775138508800.

The previous prime is 605871693563131. The next prime is 605871693563159. The reversal of 605871693563136 is 631365396178506.

It is a super-2 number, since 2×605871693563136² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (605871693563131) by changing a digit.

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 639 ways as a sum of consecutive naturals, for example, 7299658958551 + ... + 7299658958633.

It is an arithmetic number, because the mean of its divisors is an integer number (430904764416).

Almost surely, 2^{605871693563136} is an apocalyptic number.

605871693563136 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 605871693563136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1241005721518080).

605871693563136 is an abundant number, since it is smaller than the sum of its proper divisors (1876139749473024).

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

605871693563136 is a wasteful number, since it uses less digits than its factorization.

605871693563136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 440899200, while the sum is 69.

The spelling of 605871693563136 in words is "six hundred five trillion, eight hundred seventy-one billion, six hundred ninety-three million, five hundred sixty-three thousand, one hundred thirty-six".