14460218052000 has 768 divisors, whose sum is σ = 57058984120320. Its totient is φ = 3127362048000.

The previous prime is 14460218051971. The next prime is 14460218052023. The reversal of 14460218052000 is 25081206441.

It is a happy number.

It is a super-2 number, since 2×14460218052000² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

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, 1399686835 + ... + 1399697165.

It is an arithmetic number, because the mean of its divisors is an integer number (74295552240).

Almost surely, 2^{14460218052000} is an apocalyptic number.

14460218052000 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 14460218052000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28529492060160).

14460218052000 is an abundant number, since it is smaller than the sum of its proper divisors (42598766068320).

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

14460218052000 is a wasteful number, since it uses less digits than its factorization.

14460218052000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11262 (or 11244 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 33.

Adding to 14460218052000 its reverse (25081206441), we get a palindrome (14485299258441).

The spelling of 14460218052000 in words is "fourteen trillion, four hundred sixty billion, two hundred eighteen million, fifty-two thousand".