12729685248 has 864 divisors, whose sum is σ = 47997960192. Its totient is φ = 3284582400.

The previous prime is 12729685237. The next prime is 12729685253. The reversal of 12729685248 is 84258692721.

12729685248 is a `hidden beast` number, since 1 + 27 + 2 + 96 + 8 + 524 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-3 number, since 3×12729685248³ (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 12729685194 and 12729685203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 310480108 + ... + 310480148.

Almost surely, 2^12729685248 is an apocalyptic number.

12729685248 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 12729685248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23998980096).

12729685248 is an abundant number, since it is smaller than the sum of its proper divisors (35268274944).

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

12729685248 is an equidigital number, since it uses as much as digits as its factorization.

12729685248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 107 counting only the distinct ones).

The product of its digits is 3870720, while the sum is 54.

The spelling of 12729685248 in words is "twelve billion, seven hundred twenty-nine million, six hundred eighty-five thousand, two hundred forty-eight".