18657855437101 has 2 divisors, whose sum is σ = 18657855437102. Its totient is φ = 18657855437100.

The previous prime is 18657855436967. The next prime is 18657855437119. The reversal of 18657855437101 is 10173455875681.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11044389356100 + 7613466081001 = 3323310^2 + 2759251^2 .

It is a cyclic number.

It is not a de Polignac number, because 18657855437101 - 2¹¹ = 18657855435053 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 18657855437101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (18657855437161) 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 as a sum of consecutive naturals, namely, 9328927718550 + 9328927718551.

It is an arithmetic number, because the mean of its divisors is an integer number (9328927718551).

Almost surely, 2^{18657855437101} is an apocalyptic number.

It is an amenable number.

18657855437101 is a deficient number, since it is larger than the sum of its proper divisors (1).

18657855437101 is an equidigital number, since it uses as much as digits as its factorization.

18657855437101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 28224000, while the sum is 61.

The spelling of 18657855437101 in words is "eighteen trillion, six hundred fifty-seven billion, eight hundred fifty-five million, four hundred thirty-seven thousand, one hundred one".