14117461097041 has 9 divisors (see below), whose sum is σ = 14424403926601. Its totient is φ = 13816916747572.

The previous prime is 14117461097011. The next prime is 14117461097087. The reversal of 14117461097041 is 14079016471141.

The square root of 14117461097041 is 3757321.

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

It is not a de Polignac number, because 14117461097041 - 2⁷ = 14117461096913 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 14117461096982 and 14117461097000.

It is not an unprimeable number, because it can be changed into a prime (14117461097011) 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 8 ways as a sum of consecutive naturals, for example, 176554116 + ... + 176634058.

Almost surely, 2^{14117461097041} is an apocalyptic number.

14117461097041 is the 3757321-st square number.

14117461097041 is the 1878661-st centered octagonal number.

It is an amenable number.

14117461097041 is a deficient number, since it is larger than the sum of its proper divisors (306942829560).

14117461097041 is an frugal number, since it uses more digits than its factorization.

14117461097041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159980 (or 79990 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 46.

The spelling of 14117461097041 in words is "fourteen trillion, one hundred seventeen billion, four hundred sixty-one million, ninety-seven thousand, forty-one".