13758225345967 has 2 divisors, whose sum is σ = 13758225345968. Its totient is φ = 13758225345966.

The previous prime is 13758225345899. The next prime is 13758225345971. The reversal of 13758225345967 is 76954352285731.

It is a happy number.

13758225345967 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 a de Polignac number, because none of the positive numbers 2^k-13758225345967 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13758225345167) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6879112672983 + 6879112672984.

It is an arithmetic number, because the mean of its divisors is an integer number (6879112672984).

Almost surely, 2^{13758225345967} is an apocalyptic number.

13758225345967 is a deficient number, since it is larger than the sum of its proper divisors (1).

13758225345967 is an equidigital number, since it uses as much as digits as its factorization.

13758225345967 is an evil number, because the sum of its binary digits is even.

The product of its digits is 381024000, while the sum is 67.

The spelling of 13758225345967 in words is "thirteen trillion, seven hundred fifty-eight billion, two hundred twenty-five million, three hundred forty-five thousand, nine hundred sixty-seven".