8002432946257 has 2 divisors, whose sum is σ = 8002432946258. Its totient is φ = 8002432946256.

The previous prime is 8002432946177. The next prime is 8002432946281. The reversal of 8002432946257 is 7526492342008.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7954210543041 + 48222403216 = 2820321^2 + 219596^2 .

It is a cyclic number.

It is not a de Polignac number, because 8002432946257 - 2¹⁹ = 8002432421969 is a prime.

It is not a weakly prime, because it can be changed into another prime (8002432946297) 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, 4001216473128 + 4001216473129.

It is an arithmetic number, because the mean of its divisors is an integer number (4001216473129).

Almost surely, 2^{8002432946257} is an apocalyptic number.

It is an amenable number.

8002432946257 is a deficient number, since it is larger than the sum of its proper divisors (1).

8002432946257 is an equidigital number, since it uses as much as digits as its factorization.

8002432946257 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5806080, while the sum is 52.

The spelling of 8002432946257 in words is "eight trillion, two billion, four hundred thirty-two million, nine hundred forty-six thousand, two hundred fifty-seven".