12834980928 has 448 divisors, whose sum is σ = 49528780800. Its totient is φ = 3157678080.

The previous prime is 12834980897. The next prime is 12834980929. The reversal of 12834980928 is 82908943821.

12834980928 is a `hidden beast` number, since 128 + 3 + 498 + 0 + 9 + 28 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

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

It is not an unprimeable number, because it can be changed into a prime (12834980929) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2525526 + ... + 2530602.

Almost surely, 2^12834980928 is an apocalyptic number.

12834980928 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 12834980928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24764390400).

12834980928 is an abundant number, since it is smaller than the sum of its proper divisors (36693799872).

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

12834980928 is a wasteful number, since it uses less digits than its factorization.

12834980928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5135 (or 5119 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 54.

The spelling of 12834980928 in words is "twelve billion, eight hundred thirty-four million, nine hundred eighty thousand, nine hundred twenty-eight".