12744059328 has 1008 divisors, whose sum is σ = 52881873408. Its totient is φ = 2828390400.

The previous prime is 12744059281. The next prime is 12744059329. The reversal of 12744059328 is 82395044721.

12744059328 is a `hidden beast` number, since 1 + 274 + 4 + 0 + 59 + 328 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a super-2 number, since 2×12744059328² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12744059329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 411098673 + ... + 411098703.

It is an arithmetic number, because the mean of its divisors is an integer number (52462176).

Almost surely, 2^12744059328 is an apocalyptic number.

12744059328 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 12744059328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26440936704).

12744059328 is an abundant number, since it is smaller than the sum of its proper divisors (40137814080).

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

12744059328 is a wasteful number, since it uses less digits than its factorization.

12744059328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 12744059328 in words is "twelve billion, seven hundred forty-four million, fifty-nine thousand, three hundred twenty-eight".