18943624081829 has 2 divisors, whose sum is σ = 18943624081830. Its totient is φ = 18943624081828.

The previous prime is 18943624081799. The next prime is 18943624081849. The reversal of 18943624081829 is 92818042634981.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 18932854416100 + 10769665729 = 4351190^2 + 103777^2 .

It is a cyclic number.

It is not a de Polignac number, because 18943624081829 - 2²⁴ = 18943607304613 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (18943624081849) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 9471812040914 + 9471812040915.

It is an arithmetic number, because the mean of its divisors is an integer number (9471812040915).

Almost surely, 2^{18943624081829} is an apocalyptic number.

It is an amenable number.

18943624081829 is a deficient number, since it is larger than the sum of its proper divisors (1).

18943624081829 is an equidigital number, since it uses as much as digits as its factorization.

18943624081829 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 47775744, while the sum is 65.

The spelling of 18943624081829 in words is "eighteen trillion, nine hundred forty-three billion, six hundred twenty-four million, eighty-one thousand, eight hundred twenty-nine".