12898946242728 has 1728 divisors, whose sum is σ = 48482424244800. Its totient is φ = 3061604044800.

The previous prime is 12898946242711. The next prime is 12898946242783. The reversal of 12898946242728 is 82724264989821.

12898946242728 is a `hidden beast` number, since 1 + 2 + 8 + 98 + 9 + 462 + 4 + 2 + 72 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

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 pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 61132446543 + ... + 61132446753.

It is an arithmetic number, because the mean of its divisors is an integer number (28056958475).

Almost surely, 2^{12898946242728} is an apocalyptic number.

12898946242728 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 12898946242728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24241212122400).

12898946242728 is an abundant number, since it is smaller than the sum of its proper divisors (35583478002072).

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

12898946242728 is a wasteful number, since it uses less digits than its factorization.

12898946242728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 404 (or 359 counting only the distinct ones).

The product of its digits is 445906944, while the sum is 72.

The spelling of 12898946242728 in words is "twelve trillion, eight hundred ninety-eight billion, nine hundred forty-six million, two hundred forty-two thousand, seven hundred twenty-eight".