12916284308928 has 2688 divisors, whose sum is σ = 54239867136000. Its totient is φ = 2828324044800.

The previous prime is 12916284308911. The next prime is 12916284308971. The reversal of 12916284308928 is 82980348261921.

12916284308928 is a `hidden beast` number, since 1 + 2 + 9 + 162 + 84 + 308 + 92 + 8 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 66923752800 + ... + 66923752992.

It is an arithmetic number, because the mean of its divisors is an integer number (20178522000).

Almost surely, 2^{12916284308928} is an apocalyptic number.

12916284308928 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 12916284308928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27119933568000).

12916284308928 is an abundant number, since it is smaller than the sum of its proper divisors (41323582827072).

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

12916284308928 is a wasteful number, since it uses less digits than its factorization.

12916284308928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 451 (or 438 counting only the distinct ones).

The product of its (nonzero) digits is 23887872, while the sum is 63.

The spelling of 12916284308928 in words is "twelve trillion, nine hundred sixteen billion, two hundred eighty-four million, three hundred eight thousand, nine hundred twenty-eight".