14453964574569 has 81 divisors (see below), whose sum is σ = 22947096126981. Its totient is φ = 8763082211520.

The previous prime is 14453964574537. The next prime is 14453964574589. The reversal of 14453964574569 is 96547546935441.

The square root of 14453964574569 is 3801837.

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

14453964574569 is a `hidden beast` number, since 1 + 4 + 4 + 5 + 3 + 9 + 6 + 4 + 57 + 4 + 569 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1156564740969 + 13297399833600 = 1075437^2 + 3646560^2 .

It is not a de Polignac number, because 14453964574569 - 2⁵ = 14453964574537 is a prime.

It is a super-2 number, since 2×14453964574569² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 14453964574497 and 14453964574506.

It is not an unprimeable number, because it can be changed into a prime (14453964574589) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 10527285967 + ... + 10527287339.

Almost surely, 2^{14453964574569} is an apocalyptic number.

14453964574569 is the 3801837-th square number.

14453964574569 is the 1900919-th centered octagonal number.

It is an amenable number.

14453964574569 is a deficient number, since it is larger than the sum of its proper divisors (8493131552412).

14453964574569 is an frugal number, since it uses more digits than its factorization.

14453964574569 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2920 (or 1460 counting only the distinct ones).

The product of its digits is 1959552000, while the sum is 72.

The spelling of 14453964574569 in words is "fourteen trillion, four hundred fifty-three billion, nine hundred sixty-four million, five hundred seventy-four thousand, five hundred sixty-nine".