14202680625 has 135 divisors (see below), whose sum is σ = 29952862797. Its totient is φ = 6464052000.

The previous prime is 14202680581. The next prime is 14202680627. The reversal of 14202680625 is 52608620241.

It is a happy number.

The square root of 14202680625 is 119175.

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

14202680625 is a `hidden beast` number, since 1 + 4 + 2 + 0 + 26 + 8 + 0 + 625 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1113490161 + 13089190464 = 33369^2 + 114408^2 .

It is not a de Polignac number, because 14202680625 - 2¹⁷ = 14202549553 is a prime.

It is a super-2 number, since 2×14202680625² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 14202680625.

It is not an unprimeable number, because it can be changed into a prime (14202680627) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 62566762 + ... + 62566988.

Almost surely, 2^14202680625 is an apocalyptic number.

14202680625 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

14202680625 is the 119175-th square number.

14202680625 is the 59588-th centered octagonal number.

It is an amenable number.

14202680625 is an abundant number, since it is smaller than the sum of its proper divisors (15750182172).

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

14202680625 is an frugal number, since it uses more digits than its factorization.

14202680625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 494 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

Multiplying 14202680625 by its sum of digits (36), we get a square (511296502500 = 715050²).

The spelling of 14202680625 in words is "fourteen billion, two hundred two million, six hundred eighty thousand, six hundred twenty-five".