12834170944 has 175 divisors, whose sum is σ = 31567569707. Its totient is φ = 5176808448.

The previous prime is 12834170929. The next prime is 12834170971. The reversal of 12834170944 is 44907143821.

The square root of 12834170944 is 113288.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 2 ways, for example, as 3983124544 + 8851046400 = 63112^2 + 94080^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=4, B=238.

It is a super-2 number, since 2×12834170944² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 12834170944.

It is an unprimeable number.

It is a polite number, since it can be written in 24 ways as a sum of consecutive naturals, for example, 754951224 + ... + 754951240.

Almost surely, 2^12834170944 is an apocalyptic number.

12834170944 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

12834170944 is the 113288-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12834170944

12834170944 is an abundant number, since it is smaller than the sum of its proper divisors (18733398763).

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

12834170944 is an frugal number, since it uses more digits than its factorization.

12834170944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 26 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 43.

The spelling of 12834170944 in words is "twelve billion, eight hundred thirty-four million, one hundred seventy thousand, nine hundred forty-four".