6457656711168 has 1152 divisors, whose sum is σ = 21838904942400. Its totient is φ = 1893066080256.

The previous prime is 6457656711161. The next prime is 6457656711169. The reversal of 6457656711168 is 8611176567546.

6457656711168 is a `hidden beast` number, since 6 + 4 + 5 + 7 + 6 + 567 + 1 + 1 + 1 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×6457656711168² (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 (6457656711161) 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 95 ways as a sum of consecutive naturals, for example, 12686948098 + ... + 12686948606.

Almost surely, 2^{6457656711168} 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 6457656711168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10919452471200).

6457656711168 is an abundant number, since it is smaller than the sum of its proper divisors (15381248231232).

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

6457656711168 is a wasteful number, since it uses less digits than its factorization.

6457656711168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 649 (or 617 counting only the distinct ones).

The product of its digits is 50803200, while the sum is 63.

The spelling of 6457656711168 in words is "six trillion, four hundred fifty-seven billion, six hundred fifty-six million, seven hundred eleven thousand, one hundred sixty-eight".