12682446271488 has 2112 divisors, whose sum is σ = 48853197619200. Its totient is φ = 3147359846400.

The previous prime is 12682446271427. The next prime is 12682446271507. The reversal of 12682446271488 is 88417264428621.

12682446271488 is a `hidden beast` number, since 1 + 2 + 6 + 8 + 24 + 4 + 62 + 71 + 488 = 666.

It is a super-5 number, since 5×12682446271488⁵ (a number of 67 digits) contains 55555 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 38315547483 + ... + 38315547813.

Almost surely, 2^{12682446271488} is an apocalyptic number.

12682446271488 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 12682446271488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24426598809600).

12682446271488 is an abundant number, since it is smaller than the sum of its proper divisors (36170751347712).

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

12682446271488 is a wasteful number, since it uses less digits than its factorization.

12682446271488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 449 (or 414 counting only the distinct ones).

The product of its digits is 66060288, while the sum is 63.

The spelling of 12682446271488 in words is "twelve trillion, six hundred eighty-two billion, four hundred forty-six million, two hundred seventy-one thousand, four hundred eighty-eight".