657123463708668 has 480 divisors, whose sum is σ = 1902994489186560. Its totient is φ = 196073995299840.

The previous prime is 657123463708637. The next prime is 657123463708703. The reversal of 657123463708668 is 866807364321756.

657123463708668 is a `hidden beast` number, since 6 + 5 + 7 + 1 + 23 + 463 + 7 + 0 + 86 + 68 = 666.

It is a super-2 number, since 2×657123463708668² (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 657123463708596 and 657123463708605.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 89174031288 + ... + 89174038656.

It is an arithmetic number, because the mean of its divisors is an integer number (3964571852472).

Almost surely, 2^{657123463708668} 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 657123463708668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (951497244593280).

657123463708668 is an abundant number, since it is smaller than the sum of its proper divisors (1245871025477892).

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

657123463708668 is a wasteful number, since it uses less digits than its factorization.

657123463708668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8887 (or 8876 counting only the distinct ones).

The product of its (nonzero) digits is 1463132160, while the sum is 72.

The spelling of 657123463708668 in words is "six hundred fifty-seven trillion, one hundred twenty-three billion, four hundred sixty-three million, seven hundred eight thousand, six hundred sixty-eight".