429218013761 has 2 divisors, whose sum is σ = 429218013762. Its totient is φ = 429218013760.

The previous prime is 429218013703. The next prime is 429218013767. The reversal of 429218013761 is 167310812924.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 426074729536 + 3143284225 = 652744^2 + 56065^2 .

It is a cyclic number.

It is not a de Polignac number, because 429218013761 - 2³⁴ = 412038144577 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (429218013767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 214609006880 + 214609006881.

It is an arithmetic number, because the mean of its divisors is an integer number (214609006881).

Almost surely, 2^429218013761 is an apocalyptic number.

It is an amenable number.

429218013761 is a deficient number, since it is larger than the sum of its proper divisors (1).

429218013761 is an equidigital number, since it uses as much as digits as its factorization.

429218013761 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 145152, while the sum is 44.

The spelling of 429218013761 in words is "four hundred twenty-nine billion, two hundred eighteen million, thirteen thousand, seven hundred sixty-one".