14834953514689 has 27 divisors (see below), whose sum is σ = 18968802660003. Its totient is φ = 11559472940400.

The previous prime is 14834953514657. The next prime is 14834953514743. The reversal of 14834953514689 is 98641535943841.

The square root of 14834953514689 is 3851617.

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

It can be written as a sum of positive squares in only one way, i.e., 10246189735089 + 4588763779600 = 3200967^2 + 2142140^2 .

It is not a de Polignac number, because 14834953514689 - 2⁵ = 14834953514657 is a prime.

It is not an unprimeable number, because it can be changed into a prime (14834953514609) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 296549499 + ... + 296599519.

Almost surely, 2^{14834953514689} is an apocalyptic number.

14834953514689 is the 3851617-th square number.

14834953514689 is the 1925809-th centered octagonal number.

It is an amenable number.

14834953514689 is a deficient number, since it is larger than the sum of its proper divisors (4133849145314).

14834953514689 is an frugal number, since it uses more digits than its factorization.

14834953514689 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100078 (or 50039 counting only the distinct ones).

The product of its digits is 447897600, while the sum is 70.

The spelling of 14834953514689 in words is "fourteen trillion, eight hundred thirty-four billion, nine hundred fifty-three million, five hundred fourteen thousand, six hundred eighty-nine".