14341166014000 has 640 divisors, whose sum is σ = 41924768071680. Its totient is φ = 4640702976000.

The previous prime is 14341166013949. The next prime is 14341166014009. The reversal of 14341166014000 is 41066114341.

It is a happy number.

It is a super-2 number, since 2×14341166014000² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (14341166014009) 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 127 ways as a sum of consecutive naturals, for example, 6692096929 + ... + 6692099071.

It is an arithmetic number, because the mean of its divisors is an integer number (65507450112).

Almost surely, 2^{14341166014000} is an apocalyptic number.

14341166014000 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 14341166014000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20962384035840).

14341166014000 is an abundant number, since it is smaller than the sum of its proper divisors (27583602057680).

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

14341166014000 is a wasteful number, since it uses less digits than its factorization.

14341166014000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2566 (or 2550 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 31.

The spelling of 14341166014000 in words is "fourteen trillion, three hundred forty-one billion, one hundred sixty-six million, fourteen thousand".