14548419149121 has 243 divisors, whose sum is σ = 26620672284297. Its totient is φ = 7645565790720.

The previous prime is 14548419149093. The next prime is 14548419149129. The reversal of 14548419149121 is 12194191484541.

The square root of 14548419149121 is 3814239.

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

14548419149121 is a `hidden beast` number, since 1 + 4 + 5 + 4 + 8 + 41 + 91 + 491 + 21 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 131362028721 + 14417057120400 = 362439^2 + 3796980^2 .

It is not a de Polignac number, because 14548419149121 - 2¹³ = 14548419140929 is a prime.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (14548419149129) by changing a digit.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 27817244766 + ... + 27817245288.

Almost surely, 2^{14548419149121} is an apocalyptic number.

14548419149121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

14548419149121 is the 3814239-th square number.

14548419149121 is the 1907120-th centered octagonal number.

It is an amenable number.

14548419149121 is a deficient number, since it is larger than the sum of its proper divisors (12072253135176).

14548419149121 is a wasteful number, since it uses less digits than its factorization.

14548419149121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1134 (or 567 counting only the distinct ones).

The product of its digits is 1658880, while the sum is 54.

The spelling of 14548419149121 in words is "fourteen trillion, five hundred forty-eight billion, four hundred nineteen million, one hundred forty-nine thousand, one hundred twenty-one".