14001200001305 has 48 divisors (see below), whose sum is σ = 19109134472400. Its totient is φ = 9829186752000.

The previous prime is 14001200001263. The next prime is 14001200001403. The reversal of 14001200001305 is 50310000210041.

It can be written as a sum of positive squares in 8 ways, for example, as 3205664650969 + 10795535350336 = 1790437^2 + 3285656^2 .

It is not a de Polignac number, because 14001200001305 - 2¹⁶ = 14001199935769 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 74103455 + ... + 74292155.

It is an arithmetic number, because the mean of its divisors is an integer number (398106968175).

Almost surely, 2^{14001200001305} is an apocalyptic number.

It is an amenable number.

14001200001305 is a deficient number, since it is larger than the sum of its proper divisors (5107934471095).

14001200001305 is a wasteful number, since it uses less digits than its factorization.

14001200001305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192986 (or 192975 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 17.

Adding to 14001200001305 its reverse (50310000210041), we get a palindrome (64311200211346).

The spelling of 14001200001305 in words is "fourteen trillion, one billion, two hundred million, one thousand, three hundred five".