1706086130112 has 2016 divisors, whose sum is σ = 6799554478080. Its totient is φ = 403824476160.

The previous prime is 1706086130083. The next prime is 1706086130117. The reversal of 1706086130112 is 2110316806071.

1706086130112 is a `hidden beast` number, since 1 + 7 + 0 + 608 + 6 + 1 + 30 + 1 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1706086130117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 13433748993 + ... + 13433749119.

It is an arithmetic number, because the mean of its divisors is an integer number (3372794880).

Almost surely, 2^{1706086130112} is an apocalyptic number.

1706086130112 is a gapful number since it is divisible by the number (12) 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 1706086130112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3399777239040).

1706086130112 is an abundant number, since it is smaller than the sum of its proper divisors (5093468347968).

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

1706086130112 is a wasteful number, since it uses less digits than its factorization.

1706086130112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The spelling of 1706086130112 in words is "one trillion, seven hundred six billion, eighty-six million, one hundred thirty thousand, one hundred twelve".