14422153117801 has 27 divisors (see below), whose sum is σ = 17166316341573. Its totient is φ = 12102050394720.

The previous prime is 14422153117789. The next prime is 14422153117807. The reversal of 14422153117801 is 10871135122441.

It is a happy number.

The square root of 14422153117801 is 3797651.

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

It can be written as a sum of positive squares in 4 ways, for example, as 2607259319401 + 11814893798400 = 1614701^2 + 3437280^2 .

It is not a de Polignac number, because 14422153117801 - 2³³ = 14413563183209 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (14422153117807) 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, 543050815 + ... + 543077371.

Almost surely, 2^{14422153117801} is an apocalyptic number.

14422153117801 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

14422153117801 is the 3797651-st square number.

14422153117801 is the 1898826-th centered octagonal number.

It is an amenable number.

14422153117801 is a deficient number, since it is larger than the sum of its proper divisors (2744163223772).

14422153117801 is an frugal number, since it uses more digits than its factorization.

14422153117801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53162 (or 26581 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 40.

The spelling of 14422153117801 in words is "fourteen trillion, four hundred twenty-two billion, one hundred fifty-three million, one hundred seventeen thousand, eight hundred one".