14006777808969 has 243 divisors, whose sum is σ = 24170850586701. Its totient is φ = 7809082253280.

The previous prime is 14006777808883. The next prime is 14006777808977. The reversal of 14006777808969 is 96980877760041.

The square root of 14006777808969 is 3742563.

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

14006777808969 is a `hidden beast` number, since 1 + 400 + 6 + 7 + 7 + 7 + 80 + 89 + 69 = 666.

It is not a de Polignac number, because 14006777808969 - 2¹¹ = 14006777806921 is a prime.

It is a super-2 number, since 2×14006777808969² (a number of 27 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 14006777808897 and 14006777808906.

It is not an unprimeable number, because it can be changed into a prime (14006777808979) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 110289588984 + ... + 110289589110.

Almost surely, 2^{14006777808969} is an apocalyptic number.

14006777808969 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

14006777808969 is the 3742563-rd square number.

14006777808969 is the 1871282-nd centered octagonal number.

It is an amenable number.

14006777808969 is a deficient number, since it is larger than the sum of its proper divisors (10164072777732).

14006777808969 is a wasteful number, since it uses less digits than its factorization.

14006777808969 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 414 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 256048128, while the sum is 72.

The spelling of 14006777808969 in words is "fourteen trillion, six billion, seven hundred seventy-seven million, eight hundred eight thousand, nine hundred sixty-nine".