38016825960991 has 2 divisors, whose sum is σ = 38016825960992. Its totient is φ = 38016825960990.

The previous prime is 38016825960943. The next prime is 38016825961007. The reversal of 38016825960991 is 19906952861083.

38016825960991 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 is a cyclic number.

It is not a de Polignac number, because 38016825960991 - 2⁷ = 38016825960863 is a prime.

It is a super-2 number, since 2×38016825960991² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (38016825930991) 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, 19008412980495 + 19008412980496.

It is an arithmetic number, because the mean of its divisors is an integer number (19008412980496).

Almost surely, 2^{38016825960991} is an apocalyptic number.

38016825960991 is a deficient number, since it is larger than the sum of its proper divisors (1).

38016825960991 is an equidigital number, since it uses as much as digits as its factorization.

38016825960991 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 50388480, while the sum is 67.

The spelling of 38016825960991 in words is "thirty-eight trillion, sixteen billion, eight hundred twenty-five million, nine hundred sixty thousand, nine hundred ninety-one".