38719741466801 has 2 divisors, whose sum is σ = 38719741466802. Its totient is φ = 38719741466800.

The previous prime is 38719741466761. The next prime is 38719741466807. The reversal of 38719741466801 is 10866414791783.

38719741466801 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., 38650790584576 + 68950882225 = 6216976^2 + 262585^2 .

It is an emirp because it is prime and its reverse (10866414791783) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 38719741466801 - 2³⁸ = 38444863559857 is a prime.

It is not a weakly prime, because it can be changed into another prime (38719741466807) 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, 19359870733400 + 19359870733401.

It is an arithmetic number, because the mean of its divisors is an integer number (19359870733401).

Almost surely, 2^{38719741466801} is an apocalyptic number.

It is an amenable number.

38719741466801 is a deficient number, since it is larger than the sum of its proper divisors (1).

38719741466801 is an equidigital number, since it uses as much as digits as its factorization.

38719741466801 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 48771072, while the sum is 65.

The spelling of 38719741466801 in words is "thirty-eight trillion, seven hundred nineteen billion, seven hundred forty-one million, four hundred sixty-six thousand, eight hundred one".