14114108067840 has 1248 divisors, whose sum is σ = 56446116959232. Its totient is φ = 3229876224000.

The previous prime is 14114108067797. The next prime is 14114108067841. The reversal of 14114108067840 is 4876080141141.

14114108067840 is a `hidden beast` number, since 14 + 11 + 410 + 80 + 67 + 84 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14114108067841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2576975182 + ... + 2576980658.

It is an arithmetic number, because the mean of its divisors is an integer number (45229260384).

Almost surely, 2^{14114108067840} is an apocalyptic number.

14114108067840 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 14114108067840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28223058479616).

14114108067840 is an abundant number, since it is smaller than the sum of its proper divisors (42332008891392).

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

14114108067840 is a wasteful number, since it uses less digits than its factorization.

14114108067840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5595 (or 5570 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 45.

The spelling of 14114108067840 in words is "fourteen trillion, one hundred fourteen billion, one hundred eight million, sixty-seven thousand, eight hundred forty".