14006068014000 has 160 divisors (see below), whose sum is σ = 45158488689600. Its totient is φ = 3734709504000.

The previous prime is 14006068013989. The next prime is 14006068014011. The reversal of 14006068014000 is 41086060041.

It is an interprime number because it is at equal distance from previous prime (14006068013989) and next prime (14006068014011).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 104627110 + ... + 104760890.

It is an arithmetic number, because the mean of its divisors is an integer number (282240554310).

Almost surely, 2^{14006068014000} is an apocalyptic number.

14006068014000 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 14006068014000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22579244344800).

14006068014000 is an abundant number, since it is smaller than the sum of its proper divisors (31152420675600).

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

14006068014000 is a wasteful number, since it uses less digits than its factorization.

14006068014000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151256 (or 151240 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The spelling of 14006068014000 in words is "fourteen trillion, six billion, sixty-eight million, fourteen thousand".