434131502421457 has 2 divisors, whose sum is σ = 434131502421458. Its totient is φ = 434131502421456.

The previous prime is 434131502421433. The next prime is 434131502421467. The reversal of 434131502421457 is 754124205131434.

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., 424444711427136 + 9686790994321 = 20602056^2 + 3112361^2 .

It is a cyclic number.

It is not a de Polignac number, because 434131502421457 - 2³⁵ = 434097142683089 is a prime.

It is a super-2 number, since 2×434131502421457² (a number of 30 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (434131502421467) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 217065751210728 + 217065751210729.

It is an arithmetic number, because the mean of its divisors is an integer number (217065751210729).

Almost surely, 2^{434131502421457} is an apocalyptic number.

It is an amenable number.

434131502421457 is a deficient number, since it is larger than the sum of its proper divisors (1).

434131502421457 is an equidigital number, since it uses as much as digits as its factorization.

434131502421457 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1612800, while the sum is 46.

The spelling of 434131502421457 in words is "four hundred thirty-four trillion, one hundred thirty-one billion, five hundred two million, four hundred twenty-one thousand, four hundred fifty-seven".