14166263222304 has 384 divisors, whose sum is σ = 40632780384000. Its totient is φ = 4305046732800.

The previous prime is 14166263222291. The next prime is 14166263222383. The reversal of 14166263222304 is 40322236266141.

It is a happy number.

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 63 ways as a sum of consecutive naturals, for example, 1645513552 + ... + 1645522160.

It is an arithmetic number, because the mean of its divisors is an integer number (105814532250).

Almost surely, 2^{14166263222304} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14166263222304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20316390192000).

14166263222304 is an abundant number, since it is smaller than the sum of its proper divisors (26466517161696).

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

14166263222304 is a wasteful number, since it uses less digits than its factorization.

14166263222304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8956 (or 8948 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 42.

Adding to 14166263222304 its reverse (40322236266141), we get a palindrome (54488499488445).

The spelling of 14166263222304 in words is "fourteen trillion, one hundred sixty-six billion, two hundred sixty-three million, two hundred twenty-two thousand, three hundred four".