14824709982369 has 135 divisors (see below), whose sum is σ = 25761392186673. Its totient is φ = 8191131366096.

The previous prime is 14824709982307. The next prime is 14824709982419. The reversal of 14824709982369 is 96328990742841.

The square root of 14824709982369 is 3850287.

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

14824709982369 is a `hidden beast` number, since 1 + 4 + 8 + 2 + 470 + 9 + 98 + 2 + 3 + 69 = 666.

It is not a de Polignac number, because 14824709982369 - 2¹¹ = 14824709980321 is a prime.

It is a super-2 number, since 2×14824709982369² (a number of 27 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 14824709982297 and 14824709982306.

It is not an unprimeable number, because it can be changed into a prime (14824709982469) 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, 178610963602 + ... + 178610963684.

Almost surely, 2^{14824709982369} is an apocalyptic number.

14824709982369 is the 3850287-th square number.

14824709982369 is the 1925144-th centered octagonal number.

It is an amenable number.

14824709982369 is a deficient number, since it is larger than the sum of its proper divisors (10936682204304).

14824709982369 is an frugal number, since it uses more digits than its factorization.

14824709982369 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 374 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 376233984, while the sum is 72.

The spelling of 14824709982369 in words is "fourteen trillion, eight hundred twenty-four billion, seven hundred nine million, nine hundred eighty-two thousand, three hundred sixty-nine".