14301413721841 has 27 divisors (see below), whose sum is σ = 15134624256843. Its totient is φ = 13513450552560.

The previous prime is 14301413721767. The next prime is 14301413721853. The reversal of 14301413721841 is 14812731410341.

It is a happy number.

The square root of 14301413721841 is 3781721.

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., 489755030625 + 13811658691216 = 699825^2 + 3716404^2 .

It is not a de Polignac number, because 14301413721841 - 2⁴¹ = 12102390466289 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 14301413721794 and 14301413721803.

It is not an unprimeable number, because it can be changed into a prime (14301413721871) by changing a digit.

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 26 ways as a sum of consecutive naturals, for example, 5041032675 + ... + 5041035511.

Almost surely, 2^{14301413721841} is an apocalyptic number.

14301413721841 is the 3781721-st square number.

14301413721841 is the 1890861-st centered octagonal number.

It is an amenable number.

14301413721841 is a deficient number, since it is larger than the sum of its proper divisors (833210535002).

14301413721841 is an frugal number, since it uses more digits than its factorization.

14301413721841 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5822 (or 2911 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 40.

The spelling of 14301413721841 in words is "fourteen trillion, three hundred one billion, four hundred thirteen million, seven hundred twenty-one thousand, eight hundred forty-one".