12625731546768 has 240 divisors, whose sum is σ = 37498328524800. Its totient is φ = 3954507298560.

The previous prime is 12625731546763. The next prime is 12625731546809. The reversal of 12625731546768 is 86764513752621.

12625731546768 is a `hidden beast` number, since 1 + 2 + 6 + 2 + 57 + 31 + 546 + 7 + 6 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (12625731546763) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 748005753 + ... + 748022631.

It is an arithmetic number, because the mean of its divisors is an integer number (156243035520).

Almost surely, 2^{12625731546768} is an apocalyptic number.

12625731546768 is a gapful number since it is divisible by the number (18) 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 12625731546768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18749164262400).

12625731546768 is an abundant number, since it is smaller than the sum of its proper divisors (24872596978032).

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

12625731546768 is a wasteful number, since it uses less digits than its factorization.

12625731546768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19130 (or 19121 counting only the distinct ones).

The product of its digits is 101606400, while the sum is 63.

The spelling of 12625731546768 in words is "twelve trillion, six hundred twenty-five billion, seven hundred thirty-one million, five hundred forty-six thousand, seven hundred sixty-eight".