38407118121353 has 2 divisors, whose sum is σ = 38407118121354. Its totient is φ = 38407118121352.

The previous prime is 38407118121313. The next prime is 38407118121371. The reversal of 38407118121353 is 35312181170483.

38407118121353 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., 30949783942009 + 7457334179344 = 5563253^2 + 2730812^2 .

It is a cyclic number.

It is not a de Polignac number, because 38407118121353 - 2³⁰ = 38406044379529 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 38407118121298 and 38407118121307.

It is not a weakly prime, because it can be changed into another prime (38407118121313) 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, 19203559060676 + 19203559060677.

It is an arithmetic number, because the mean of its divisors is an integer number (19203559060677).

Almost surely, 2^{38407118121353} is an apocalyptic number.

It is an amenable number.

38407118121353 is a deficient number, since it is larger than the sum of its proper divisors (1).

38407118121353 is an equidigital number, since it uses as much as digits as its factorization.

38407118121353 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 483840, while the sum is 47.

The spelling of 38407118121353 in words is "thirty-eight trillion, four hundred seven billion, one hundred eighteen million, one hundred twenty-one thousand, three hundred fifty-three".