12314066165760 has 896 divisors, whose sum is σ = 43788956327424. Its totient is φ = 2938948812800.

The previous prime is 12314066165741. The next prime is 12314066165789. The reversal of 12314066165760 is 6756166041321.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9465077110 + ... + 9465078410.

It is an arithmetic number, because the mean of its divisors is an integer number (48871603044).

Almost surely, 2^{12314066165760} is an apocalyptic number.

12314066165760 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 12314066165760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21894478163712).

12314066165760 is an abundant number, since it is smaller than the sum of its proper divisors (31474890161664).

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

12314066165760 is a wasteful number, since it uses less digits than its factorization.

12314066165760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1572 (or 1548 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 48.

The spelling of 12314066165760 in words is "twelve trillion, three hundred fourteen billion, sixty-six million, one hundred sixty-five thousand, seven hundred sixty".