12834391162320 has 960 divisors, whose sum is σ = 54443696047104. Its totient is φ = 2637579386880.

The previous prime is 12834391162237. The next prime is 12834391162321. The reversal of 12834391162320 is 2326119343821.

It is a happy number.

12834391162320 is a `hidden beast` number, since 1 + 2 + 8 + 3 + 4 + 3 + 9 + 11 + 623 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12834391162321) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 411646572 + ... + 411677748.

Almost surely, 2^{12834391162320} is an apocalyptic number.

12834391162320 is a gapful number since it is divisible by the number (10) 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 12834391162320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27221848023552).

12834391162320 is an abundant number, since it is smaller than the sum of its proper divisors (41609304884784).

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

12834391162320 is a wasteful number, since it uses less digits than its factorization.

12834391162320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31380 (or 31371 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 12834391162320 in words is "twelve trillion, eight hundred thirty-four billion, three hundred ninety-one million, one hundred sixty-two thousand, three hundred twenty".