12145365816761 has 2 divisors, whose sum is σ = 12145365816762. Its totient is φ = 12145365816760.

The previous prime is 12145365816739. The next prime is 12145365816811. The reversal of 12145365816761 is 16761856354121.

12145365816761 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 11794972853161 + 350392963600 = 3434381^2 + 591940^2 .

It is a cyclic number.

It is not a de Polignac number, because 12145365816761 - 2¹⁸ = 12145365554617 is a prime.

It is a super-2 number, since 2×12145365816761² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12145365816697 and 12145365816706.

It is not a weakly prime, because it can be changed into another prime (12145365816161) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6072682908380 + 6072682908381.

It is an arithmetic number, because the mean of its divisors is an integer number (6072682908381).

Almost surely, 2^{12145365816761} is an apocalyptic number.

It is an amenable number.

12145365816761 is a deficient number, since it is larger than the sum of its proper divisors (1).

12145365816761 is an equidigital number, since it uses as much as digits as its factorization.

12145365816761 is an evil number, because the sum of its binary digits is even.

The product of its digits is 7257600, while the sum is 56.

The spelling of 12145365816761 in words is "twelve trillion, one hundred forty-five billion, three hundred sixty-five million, eight hundred sixteen thousand, seven hundred sixty-one".