38923009138241 has 2 divisors, whose sum is σ = 38923009138242. Its totient is φ = 38923009138240.

The previous prime is 38923009138231. The next prime is 38923009138253. The reversal of 38923009138241 is 14283190032983.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 38678697408400 + 244311729841 = 6219220^2 + 494279^2 .

It is a cyclic number.

It is not a de Polignac number, because 38923009138241 - 2²² = 38923004943937 is a prime.

It is not a weakly prime, because it can be changed into another prime (38923009138231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 19461504569120 + 19461504569121.

It is an arithmetic number, because the mean of its divisors is an integer number (19461504569121).

Almost surely, 2^{38923009138241} is an apocalyptic number.

It is an amenable number.

38923009138241 is a deficient number, since it is larger than the sum of its proper divisors (1).

38923009138241 is an equidigital number, since it uses as much as digits as its factorization.

38923009138241 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2239488, while the sum is 53.

The spelling of 38923009138241 in words is "thirty-eight trillion, nine hundred twenty-three billion, nine million, one hundred thirty-eight thousand, two hundred forty-one".