18784105577857 has 2 divisors, whose sum is σ = 18784105577858. Its totient is φ = 18784105577856.

The previous prime is 18784105577821. The next prime is 18784105577893. The reversal of 18784105577857 is 75877550148781.

It is a balanced prime because it is at equal distance from previous prime (18784105577821) and next prime (18784105577893).

It can be written as a sum of positive squares in only one way, i.e., 12892630978161 + 5891474599696 = 3590631^2 + 2427236^2 .

It is a cyclic number.

It is not a de Polignac number, because 18784105577857 - 2⁷ = 18784105577729 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 18784105577857.

It is not a weakly prime, because it can be changed into another prime (18784105577807) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 9392052788928 + 9392052788929.

It is an arithmetic number, because the mean of its divisors is an integer number (9392052788929).

Almost surely, 2^{18784105577857} is an apocalyptic number.

It is an amenable number.

18784105577857 is a deficient number, since it is larger than the sum of its proper divisors (1).

18784105577857 is an equidigital number, since it uses as much as digits as its factorization.

18784105577857 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 614656000, while the sum is 73.

The spelling of 18784105577857 in words is "eighteen trillion, seven hundred eighty-four billion, one hundred five million, five hundred seventy-seven thousand, eight hundred fifty-seven".