12468723707664 has 405 divisors, whose sum is σ = 41038392138471. Its totient is φ = 3523763295360.

The previous prime is 12468723707659. The next prime is 12468723707683. The reversal of 12468723707664 is 46670732786421.

The square root of 12468723707664 is 3531108.

It is a perfect power (a square), and thus also a powerful number.

12468723707664 is a `hidden beast` number, since 1 + 2 + 468 + 72 + 37 + 0 + 76 + 6 + 4 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 37669859979 + ... + 37669860309.

Almost surely, 2^{12468723707664} is an apocalyptic number.

12468723707664 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

12468723707664 is the 3531108-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12468723707664

12468723707664 is an abundant number, since it is smaller than the sum of its proper divisors (28569668430807).

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

12468723707664 is an equidigital number, since it uses as much as digits as its factorization.

12468723707664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 944 (or 470 counting only the distinct ones).

The product of its (nonzero) digits is 113799168, while the sum is 63.

The spelling of 12468723707664 in words is "twelve trillion, four hundred sixty-eight billion, seven hundred twenty-three million, seven hundred seven thousand, six hundred sixty-four".