12468373968960 has 1792 divisors, whose sum is σ = 58016441548800. Its totient is φ = 2445895139328.

The previous prime is 12468373968907. The next prime is 12468373968979. The reversal of 12468373968960 is 6986937386421.

12468373968960 is a `hidden beast` number, since 1 + 2 + 468 + 3 + 73 + 9 + 6 + 8 + 96 + 0 = 666.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1109379021 + ... + 1109390259.

It is an arithmetic number, because the mean of its divisors is an integer number (32375246400).

Almost surely, 2^{12468373968960} is an apocalyptic number.

12468373968960 is a gapful number since it is divisible by the number (10) 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 12468373968960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29008220774400).

12468373968960 is an abundant number, since it is smaller than the sum of its proper divisors (45548067579840).

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

12468373968960 is a wasteful number, since it uses less digits than its factorization.

12468373968960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11385 (or 11369 counting only the distinct ones).

The product of its (nonzero) digits is 564350976, while the sum is 72.

The spelling of 12468373968960 in words is "twelve trillion, four hundred sixty-eight billion, three hundred seventy-three million, nine hundred sixty-eight thousand, nine hundred sixty".