12164351706 has 96 divisors (see below), whose sum is σ = 28741789440. Its totient is φ = 3695853312.

The previous prime is 12164351669. The next prime is 12164351707. The reversal of 12164351706 is 60715346121.

12164351706 is a `hidden beast` number, since 1 + 2 + 1 + 643 + 5 + 1 + 7 + 0 + 6 = 666.

12164351706 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×12164351706² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12164351707) 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 47 ways as a sum of consecutive naturals, for example, 13713595 + ... + 13714481.

It is an arithmetic number, because the mean of its divisors is an integer number (299393640).

Almost surely, 2^12164351706 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12164351706, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14370894720).

12164351706 is an abundant number, since it is smaller than the sum of its proper divisors (16577437734).

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

12164351706 is a wasteful number, since it uses less digits than its factorization.

12164351706 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1580 (or 1577 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

Adding to 12164351706 its reverse (60715346121), we get a palindrome (72879697827).

The spelling of 12164351706 in words is "twelve billion, one hundred sixty-four million, three hundred fifty-one thousand, seven hundred six".