12416454238113 has 96 divisors (see below), whose sum is σ = 18587562784128. Its totient is φ = 7983756748800.

The previous prime is 12416454238109. The next prime is 12416454238117. The reversal of 12416454238113 is 31183245461421.

It is a happy number.

12416454238113 is a `hidden beast` number, since 1 + 2 + 4 + 1 + 64 + 542 + 38 + 1 + 13 = 666.

It is an interprime number because it is at equal distance from previous prime (12416454238109) and next prime (12416454238117).

It is not a de Polignac number, because 12416454238113 - 2² = 12416454238109 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12416454238117) 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 95 ways as a sum of consecutive naturals, for example, 2264533870 + ... + 2264539352.

It is an arithmetic number, because the mean of its divisors is an integer number (193620445668).

Almost surely, 2^{12416454238113} is an apocalyptic number.

It is an amenable number.

12416454238113 is a deficient number, since it is larger than the sum of its proper divisors (6171108546015).

12416454238113 is a wasteful number, since it uses less digits than its factorization.

12416454238113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6047 (or 6044 counting only the distinct ones).

The product of its digits is 552960, while the sum is 45.

Adding to 12416454238113 its reverse (31183245461421), we get a palindrome (43599699699534).

The spelling of 12416454238113 in words is "twelve trillion, four hundred sixteen billion, four hundred fifty-four million, two hundred thirty-eight thousand, one hundred thirteen".