18756751443137 has 2 divisors, whose sum is σ = 18756751443138. Its totient is φ = 18756751443136.

The previous prime is 18756751443091. The next prime is 18756751443139. The reversal of 18756751443137 is 73134415765781.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10909604214961 + 7847147228176 = 3302969^2 + 2801276^2 .

It is an emirp because it is prime and its reverse (73134415765781) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 18756751443137 - 2²⁶ = 18756684334273 is a prime.

Together with 18756751443139, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 18756751443137.

It is not a weakly prime, because it can be changed into another prime (18756751443139) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 9378375721568 + 9378375721569.

It is an arithmetic number, because the mean of its divisors is an integer number (9378375721569).

Almost surely, 2^{18756751443137} is an apocalyptic number.

It is an amenable number.

18756751443137 is a deficient number, since it is larger than the sum of its proper divisors (1).

18756751443137 is an equidigital number, since it uses as much as digits as its factorization.

18756751443137 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 59270400, while the sum is 62.

The spelling of 18756751443137 in words is "eighteen trillion, seven hundred fifty-six billion, seven hundred fifty-one million, four hundred forty-three thousand, one hundred thirty-seven".