34416507487889 has 2 divisors, whose sum is σ = 34416507487890. Its totient is φ = 34416507487888.

The previous prime is 34416507487807. The next prime is 34416507487933. The reversal of 34416507487889 is 98878470561443.

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., 34291974724225 + 124532763664 = 5855935^2 + 352892^2 .

It is an emirp because it is prime and its reverse (98878470561443) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 34416507487889 - 2¹² = 34416507483793 is a prime.

It is not a weakly prime, because it can be changed into another prime (34416507487289) 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, 17208253743944 + 17208253743945.

It is an arithmetic number, because the mean of its divisors is an integer number (17208253743945).

Almost surely, 2^{34416507487889} is an apocalyptic number.

It is an amenable number.

34416507487889 is a deficient number, since it is larger than the sum of its proper divisors (1).

34416507487889 is an equidigital number, since it uses as much as digits as its factorization.

34416507487889 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1300561920, while the sum is 74.

The spelling of 34416507487889 in words is "thirty-four trillion, four hundred sixteen billion, five hundred seven million, four hundred eighty-seven thousand, eight hundred eighty-nine".