14496400801 has 3 divisors (see below), whose sum is σ = 14496521203. Its totient is φ = 14496280400.

The previous prime is 14496400783. The next prime is 14496400811. The reversal of 14496400801 is 10800469441.

The square root of 14496400801 is 120401.

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

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in only one way, i.e., 401962401 + 14094438400 = 20049^2 + 118720^2 .

It is not a de Polignac number, because 14496400801 - 2⁷ = 14496400673 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (14496400811) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 60201 + ... + 180601.

Almost surely, 2^14496400801 is an apocalyptic number.

14496400801 is the 120401-st square number.

14496400801 is the 60201-st centered octagonal number.

It is an amenable number.

14496400801 is a deficient number, since it is larger than the sum of its proper divisors (120402).

14496400801 is an frugal number, since it uses more digits than its factorization.

14496400801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240802 (or 120401 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 37.

The spelling of 14496400801 in words is "fourteen billion, four hundred ninety-six million, four hundred thousand, eight hundred one".