12715138695168 has 1800 divisors, whose sum is σ = 48407914585800. Its totient is φ = 3315764035584.

The previous prime is 12715138695143. The next prime is 12715138695169. The reversal of 12715138695168 is 86159683151721.

It is a happy number.

12715138695168 is a `hidden beast` number, since 1 + 2 + 7 + 1 + 5 + 1 + 386 + 95 + 168 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 5930822467584 + 6784316227584 = 2435328^2 + 2604672^2 .

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12715138695169) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 142866726868 + ... + 142866726956.

It is an arithmetic number, because the mean of its divisors is an integer number (26893285881).

Almost surely, 2^{12715138695168} is an apocalyptic number.

12715138695168 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 12715138695168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24203957292900).

12715138695168 is an abundant number, since it is smaller than the sum of its proper divisors (35692775890632).

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

12715138695168 is an frugal number, since it uses more digits than its factorization.

12715138695168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 114 counting only the distinct ones).

The product of its digits is 21772800, while the sum is 63.

The spelling of 12715138695168 in words is "twelve trillion, seven hundred fifteen billion, one hundred thirty-eight million, six hundred ninety-five thousand, one hundred sixty-eight".