14448280401 has 27 divisors (see below), whose sum is σ = 21128639259. Its totient is φ = 9514149552.

The previous prime is 14448280309. The next prime is 14448280417. The reversal of 14448280401 is 10408284441.

The square root of 14448280401 is 120201.

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., 3410676801 + 11037603600 = 58401^2 + 105060^2 .

It is not a de Polignac number, because 14448280401 - 2¹⁵ = 14448247633 is a prime.

It is not an unprimeable number, because it can be changed into a prime (14448280201) 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, 37141915 + ... + 37142303.

Almost surely, 2^14448280401 is an apocalyptic number.

14448280401 is the 120201-st square number.

14448280401 is the 60101-st centered octagonal number.

It is an amenable number.

14448280401 is a deficient number, since it is larger than the sum of its proper divisors (6680358858).

14448280401 is an frugal number, since it uses more digits than its factorization.

14448280401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 990 (or 495 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 36.

Multiplying 14448280401 by its sum of digits (36), we get a square (520138094436 = 721206²).

It can be divided in two parts, 14448 and 280401, that added together give a square (294849 = 543²).

The spelling of 14448280401 in words is "fourteen billion, four hundred forty-eight million, two hundred eighty thousand, four hundred one".