18833873708401 has 2 divisors, whose sum is σ = 18833873708402. Its totient is φ = 18833873708400.

The previous prime is 18833873708303. The next prime is 18833873708443. The reversal of 18833873708401 is 10480737833881.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 18302139610000 + 531734098401 = 4278100^2 + 729201^2 .

It is a cyclic number.

It is not a de Polignac number, because 18833873708401 - 2¹⁵ = 18833873675633 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 18833873708401.

It is not a weakly prime, because it can be changed into another prime (18833874708401) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 9416936854200 + 9416936854201.

It is an arithmetic number, because the mean of its divisors is an integer number (9416936854201).

Almost surely, 2^{18833873708401} is an apocalyptic number.

It is an amenable number.

18833873708401 is a deficient number, since it is larger than the sum of its proper divisors (1).

18833873708401 is an equidigital number, since it uses as much as digits as its factorization.

18833873708401 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 21676032, while the sum is 61.

The spelling of 18833873708401 in words is "eighteen trillion, eight hundred thirty-three billion, eight hundred seventy-three million, seven hundred eight thousand, four hundred one".