14424317860096 has 81 divisors (see below), whose sum is σ = 30587772823041. Its totient is φ = 6787428151296.

The previous prime is 14424317860081. The next prime is 14424317860097. The reversal of 14424317860096 is 69006871342441.

It is a happy number.

The square root of 14424317860096 is 3797936.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 11230005254400 + 3194312605696 = 3351120^2 + 1787264^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (14424317860097) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1033031611 + ... + 1033045573.

Almost surely, 2^{14424317860096} is an apocalyptic number.

14424317860096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

14424317860096 is the 3797936-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14424317860096

14424317860096 is an abundant number, since it is smaller than the sum of its proper divisors (16163454962945).

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

14424317860096 is an frugal number, since it uses more digits than its factorization.

14424317860096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27976 (or 13982 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 55.

The spelling of 14424317860096 in words is "fourteen trillion, four hundred twenty-four billion, three hundred seventeen million, eight hundred sixty thousand, ninety-six".