14642676230625 has 105 divisors (see below), whose sum is σ = 27438522708223. Its totient is φ = 7808049756000.

The previous prime is 14642676230573. The next prime is 14642676230639. The reversal of 14642676230625 is 52603267624641.

The square root of 14642676230625 is 3826575.

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

14642676230625 is a `hidden beast` number, since 1 + 4 + 6 + 4 + 2 + 6 + 7 + 6 + 2 + 3 + 0 + 625 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 13888509039441 + 754167191184 = 3726729^2 + 868428^2 .

It is not a de Polignac number, because 14642676230625 - 2²³ = 14642667842017 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 104 ways as a sum of consecutive naturals, for example, 2582935291 + ... + 2582940959.

Almost surely, 2^{14642676230625} is an apocalyptic number.

14642676230625 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

14642676230625 is the 3826575-th square number.

14642676230625 is the 1913288-th centered octagonal number.

It is an amenable number.

14642676230625 is a deficient number, since it is larger than the sum of its proper divisors (12795846477598).

14642676230625 is an frugal number, since it uses more digits than its factorization.

14642676230625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11376 (or 5677 counting only the distinct ones).

The product of its (nonzero) digits is 17418240, while the sum is 54.

The spelling of 14642676230625 in words is "fourteen trillion, six hundred forty-two billion, six hundred seventy-six million, two hundred thirty thousand, six hundred twenty-five".