38826354213121 has 2 divisors, whose sum is σ = 38826354213122. Its totient is φ = 38826354213120.

The previous prime is 38826354213013. The next prime is 38826354213173. The reversal of 38826354213121 is 12131245362883.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 37374136406721 + 1452217806400 = 6113439^2 + 1205080^2 .

It is a cyclic number.

It is not a de Polignac number, because 38826354213121 - 2⁷ = 38826354212993 is a prime.

It is not a weakly prime, because it can be changed into another prime (38826354213191) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 19413177106560 + 19413177106561.

It is an arithmetic number, because the mean of its divisors is an integer number (19413177106561).

Almost surely, 2^{38826354213121} is an apocalyptic number.

It is an amenable number.

38826354213121 is a deficient number, since it is larger than the sum of its proper divisors (1).

38826354213121 is an equidigital number, since it uses as much as digits as its factorization.

38826354213121 is an evil number, because the sum of its binary digits is even.

The product of its digits is 1658880, while the sum is 49.

The spelling of 38826354213121 in words is "thirty-eight trillion, eight hundred twenty-six billion, three hundred fifty-four million, two hundred thirteen thousand, one hundred twenty-one".