14181437930625 has 315 divisors, whose sum is σ = 30946244115567. Its totient is φ = 6474808872000.

The previous prime is 14181437930603. The next prime is 14181437930629. The reversal of 14181437930625 is 52603973418141.

The square root of 14181437930625 is 3765825.

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

14181437930625 is a `hidden beast` number, since 1 + 4 + 1 + 8 + 1 + 4 + 3 + 7 + 9 + 3 + 0 + 625 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 11081288926449 + 3100149004176 = 3328857^2 + 1760724^2 .

It is a tau number, because it is divible by the number of its divisors (315).

It is not a de Polignac number, because 14181437930625 - 2⁷ = 14181437930497 is a prime.

It is a super-3 number, since 3×14181437930625³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (14181437930629) by changing a digit.

It is a polite number, since it can be written in 314 ways as a sum of consecutive naturals, for example, 17793522727 + ... + 17793523523.

It is a 1-persistent number, because it is pandigital, but 2⋅14181437930625 = 28362875861250 is not.

Almost surely, 2^{14181437930625} is an apocalyptic number.

14181437930625 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

14181437930625 is the 3765825-th square number.

14181437930625 is the 1882913-rd centered octagonal number.

It is an amenable number.

14181437930625 is an abundant number, since it is smaller than the sum of its proper divisors (16764806184942).

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

14181437930625 is an frugal number, since it uses more digits than its factorization.

14181437930625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1646 (or 812 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 14181437930625 in words is "fourteen trillion, one hundred eighty-one billion, four hundred thirty-seven million, nine hundred thirty thousand, six hundred twenty-five".