38675803701121 has 2 divisors, whose sum is σ = 38675803701122. Its totient is φ = 38675803701120.

The previous prime is 38675803701107. The next prime is 38675803701127. The reversal of 38675803701121 is 12110730857683.

38675803701121 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 21798291050496 + 16877512650625 = 4668864^2 + 4108225^2 .

It is an emirp because it is prime and its reverse (12110730857683) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 38675803701121 - 2¹⁷ = 38675803570049 is a prime.

It is not a weakly prime, because it can be changed into another prime (38675803701127) 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, 19337901850560 + 19337901850561.

It is an arithmetic number, because the mean of its divisors is an integer number (19337901850561).

Almost surely, 2^{38675803701121} is an apocalyptic number.

It is an amenable number.

38675803701121 is a deficient number, since it is larger than the sum of its proper divisors (1).

38675803701121 is an equidigital number, since it uses as much as digits as its factorization.

38675803701121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1693440, while the sum is 52.

The spelling of 38675803701121 in words is "thirty-eight trillion, six hundred seventy-five billion, eight hundred three million, seven hundred one thousand, one hundred twenty-one".