12795314688 has 360 divisors, whose sum is σ = 41437183788. Its totient is φ = 3923582976.

The previous prime is 12795314687. The next prime is 12795314689. The reversal of 12795314688 is 88641359721.

12795314688 is a `hidden beast` number, since 1 + 27 + 9 + 531 + 4 + 6 + 88 = 666.

It is an interprime number because it is at equal distance from previous prime (12795314687) and next prime (12795314689).

It can be written as a sum of positive squares in 2 ways, for example, as 12713013504 + 82301184 = 112752^2 + 9072^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (12795314683) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 43669870 + ... + 43670162.

Almost surely, 2^12795314688 is an apocalyptic number.

12795314688 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 12795314688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20718591894).

12795314688 is an abundant number, since it is smaller than the sum of its proper divisors (28641869100).

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

12795314688 is an frugal number, since it uses more digits than its factorization.

12795314688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 348 (or 311 counting only the distinct ones).

The product of its digits is 2903040, while the sum is 54.

The spelling of 12795314688 in words is "twelve billion, seven hundred ninety-five million, three hundred fourteen thousand, six hundred eighty-eight".