12723314688 has 336 divisors, whose sum is σ = 42629876640. Its totient is φ = 3581411328.

The previous prime is 12723314687. The next prime is 12723314689. The reversal of 12723314688 is 88641332721.

12723314688 is a `hidden beast` number, since 1 + 272 + 3 + 314 + 68 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (12723314687) and next prime (12723314689).

It is a tau number, because it is divible by the number of its divisors (336).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a nude number because it is divisible by every one of its digits.

Its product of digits (387072) is a multiple of the sum of its prime divisors (378).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12723314687) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 45932406 + ... + 45932682.

Almost surely, 2^12723314688 is an apocalyptic number.

12723314688 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 12723314688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21314938320).

12723314688 is an abundant number, since it is smaller than the sum of its proper divisors (29906561952).

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

12723314688 is an equidigital number, since it uses as much as digits as its factorization.

12723314688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 405 (or 378 counting only the distinct ones).

The product of its digits is 387072, while the sum is 45.

The spelling of 12723314688 in words is "twelve billion, seven hundred twenty-three million, three hundred fourteen thousand, six hundred eighty-eight".