12657052846176 has 192 divisors, whose sum is σ = 35638322872320. Its totient is φ = 3924446238720.

The previous prime is 12657052846159. The next prime is 12657052846177. The reversal of 12657052846176 is 67164825075621.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12657052846177) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18916966 + ... + 19574618.

It is an arithmetic number, because the mean of its divisors is an integer number (185616264960).

Almost surely, 2^{12657052846176} is an apocalyptic number.

12657052846176 is a gapful number since it is divisible by the number (16) 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 12657052846176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17819161436160).

12657052846176 is an abundant number, since it is smaller than the sum of its proper divisors (22981270026144).

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

12657052846176 is a wasteful number, since it uses less digits than its factorization.

12657052846176 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 657949 (or 657941 counting only the distinct ones).

The product of its (nonzero) digits is 33868800, while the sum is 60.

The spelling of 12657052846176 in words is "twelve trillion, six hundred fifty-seven billion, fifty-two million, eight hundred forty-six thousand, one hundred seventy-six".