14438262208260 has 288 divisors, whose sum is σ = 44550146100096. Its totient is φ = 3491242444800.

The previous prime is 14438262208259. The next prime is 14438262208367. The reversal of 14438262208260 is 6280226283441.

It is a super-2 number, since 2×14438262208260² (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 (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6756321912 + ... + 6756324048.

It is an arithmetic number, because the mean of its divisors is an integer number (154688007292).

Almost surely, 2^{14438262208260} is an apocalyptic number.

14438262208260 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 14438262208260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22275073050048).

14438262208260 is an abundant number, since it is smaller than the sum of its proper divisors (30111883891836).

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

14438262208260 is a wasteful number, since it uses less digits than its factorization.

14438262208260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4115 (or 4102 counting only the distinct ones).

The product of its (nonzero) digits is 1769472, while the sum is 48.

The spelling of 14438262208260 in words is "fourteen trillion, four hundred thirty-eight billion, two hundred sixty-two million, two hundred eight thousand, two hundred sixty".