14234389576801 has 9 divisors (see below), whose sum is σ = 15023074073553. Its totient is φ = 13485143266740.

The previous prime is 14234389576787. The next prime is 14234389576819. The reversal of 14234389576801 is 10867598343241.

The square root of 14234389576801 is 3772849.

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

It is not a de Polignac number, because 14234389576801 - 2²³ = 14234381188193 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 14234389576801.

It is not an unprimeable number, because it can be changed into a prime (14234389576301) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 71584846 + ... + 71783416.

It is an arithmetic number, because the mean of its divisors is an integer number (1669230452617).

It is a 2-persistent number, because it is pandigital, and so is 2⋅14234389576801 = 28468779153602, but 3⋅14234389576801 = 42703168730403 is not.

Almost surely, 2^{14234389576801} is an apocalyptic number.

14234389576801 is the 3772849-th square number.

14234389576801 is the 1886425-th centered octagonal number.

It is an amenable number.

14234389576801 is a deficient number, since it is larger than the sum of its proper divisors (788684496752).

14234389576801 is an frugal number, since it uses more digits than its factorization.

14234389576801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 397180 (or 198590 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 61.

The spelling of 14234389576801 in words is "fourteen trillion, two hundred thirty-four billion, three hundred eighty-nine million, five hundred seventy-six thousand, eight hundred one".