14496804956089 has 45 divisors (see below), whose sum is σ = 15675112128543. Its totient is φ = 13406974639344.

The previous prime is 14496804956083. The next prime is 14496804956099. The reversal of 14496804956089 is 98065940869441.

The square root of 14496804956089 is 3807467.

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., 10450704890025 + 4046100066064 = 3232755^2 + 2011492^2 .

It is not a de Polignac number, because 14496804956089 - 2⁷ = 14496804955961 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (14496804956083) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 72848266012 + ... + 72848266210.

Almost surely, 2^{14496804956089} is an apocalyptic number.

14496804956089 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

14496804956089 is the 3807467-th square number.

14496804956089 is the 1903734-th centered octagonal number.

It is an amenable number.

14496804956089 is a deficient number, since it is larger than the sum of its proper divisors (1178307172454).

14496804956089 is an frugal number, since it uses more digits than its factorization.

14496804956089 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 580 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 537477120, while the sum is 73.

The spelling of 14496804956089 in words is "fourteen trillion, four hundred ninety-six billion, eight hundred four million, nine hundred fifty-six thousand, eighty-nine".