38961968579609 has 2 divisors, whose sum is σ = 38961968579610. Its totient is φ = 38961968579608.

The previous prime is 38961968579461. The next prime is 38961968579641. The reversal of 38961968579609 is 90697586916983.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 38420125369609 + 541843210000 = 6198397^2 + 736100^2 .

It is a cyclic number.

It is not a de Polignac number, because 38961968579609 - 2²⁸ = 38961700144153 is a prime.

It is not a weakly prime, because it can be changed into another prime (38961968579659) 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, 19480984289804 + 19480984289805.

It is an arithmetic number, because the mean of its divisors is an integer number (19480984289805).

Almost surely, 2^{38961968579609} is an apocalyptic number.

It is an amenable number.

38961968579609 is a deficient number, since it is larger than the sum of its proper divisors (1).

38961968579609 is an equidigital number, since it uses as much as digits as its factorization.

38961968579609 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9523422720, while the sum is 86.

The spelling of 38961968579609 in words is "thirty-eight trillion, nine hundred sixty-one billion, nine hundred sixty-eight million, five hundred seventy-nine thousand, six hundred nine".