12748995133056 has 768 divisors, whose sum is σ = 47417728176000. Its totient is φ = 3362274220032.

The previous prime is 12748995133003. The next prime is 12748995133079. The reversal of 12748995133056 is 65033159984721.

12748995133056 is a `hidden beast` number, since 1 + 2 + 7 + 4 + 89 + 9 + 513 + 30 + 5 + 6 = 666.

12748995133056 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 12748995132984 and 12748995133002.

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, 372031635 + ... + 372065901.

It is a 1-persistent number, because it is pandigital, but 2⋅12748995133056 = 25497990266112 is not.

Almost surely, 2^{12748995133056} is an apocalyptic number.

12748995133056 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 12748995133056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23708864088000).

12748995133056 is an abundant number, since it is smaller than the sum of its proper divisors (34668733042944).

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

12748995133056 is an equidigital number, since it uses as much as digits as its factorization.

12748995133056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34343 (or 34292 counting only the distinct ones).

The product of its (nonzero) digits is 48988800, while the sum is 63.

The spelling of 12748995133056 in words is "twelve trillion, seven hundred forty-eight billion, nine hundred ninety-five million, one hundred thirty-three thousand, fifty-six".