14678006353920 has 1664 divisors, whose sum is σ = 65545823616000. Its totient is φ = 3096377819136.

The previous prime is 14678006353919. The next prime is 14678006353993. The reversal of 14678006353920 is 2935360087641.

14678006353920 is a `hidden beast` number, since 1 + 4 + 6 + 7 + 80 + 0 + 6 + 3 + 539 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (1664).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2465645664 + ... + 2465651616.

It is an arithmetic number, because the mean of its divisors is an integer number (39390519000).

It is a 2-persistent number, because it is pandigital, and so is 2⋅14678006353920 = 29356012707840, but 3⋅14678006353920 = 44034019061760 is not.

Almost surely, 2^{14678006353920} is an apocalyptic number.

14678006353920 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 14678006353920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32772911808000).

14678006353920 is an abundant number, since it is smaller than the sum of its proper divisors (50867817262080).

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

14678006353920 is an equidigital number, since it uses as much as digits as its factorization.

14678006353920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6025 (or 5983 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 14678006353920 in words is "fourteen trillion, six hundred seventy-eight billion, six million, three hundred fifty-three thousand, nine hundred twenty".