14678213306760 has 640 divisors, whose sum is σ = 51807406464000. Its totient is φ = 3722354528256.

The previous prime is 14678213306677. The next prime is 14678213306863. The reversal of 14678213306760 is 6760331287641.

It is a happy number.

14678213306760 is a `hidden beast` number, since 1 + 4 + 67 + 8 + 213 + 306 + 7 + 60 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 14678213306697 and 14678213306706.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 3392235717 + ... + 3392240043.

It is an arithmetic number, because the mean of its divisors is an integer number (80949072600).

Almost surely, 2^{14678213306760} is an apocalyptic number.

14678213306760 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 14678213306760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25903703232000).

14678213306760 is an abundant number, since it is smaller than the sum of its proper divisors (37129193157240).

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

14678213306760 is a wasteful number, since it uses less digits than its factorization.

14678213306760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4915 (or 4902 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 54.

The spelling of 14678213306760 in words is "fourteen trillion, six hundred seventy-eight billion, two hundred thirteen million, three hundred six thousand, seven hundred sixty".