320946778951457 has 2 divisors, whose sum is σ = 320946778951458. Its totient is φ = 320946778951456.

The previous prime is 320946778951451. The next prime is 320946778951499. The reversal of 320946778951457 is 754159877649023.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 300157045651681 + 20789733299776 = 17325041^2 + 4559576^2 .

It is a cyclic number.

It is not a de Polignac number, because 320946778951457 - 2¹⁶ = 320946778885921 is a prime.

It is not a weakly prime, because it can be changed into another prime (320946778951451) 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, 160473389475728 + 160473389475729.

It is an arithmetic number, because the mean of its divisors is an integer number (160473389475729).

It is a 3-persistent number, because k⋅320946778951457 is pandigital for 1 ≤ k ≤ 3, but not for k = 4.

Almost surely, 2^{320946778951457} is an apocalyptic number.

It is an amenable number.

320946778951457 is a deficient number, since it is larger than the sum of its proper divisors (1).

320946778951457 is an equidigital number, since it uses as much as digits as its factorization.

320946778951457 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3200601600, while the sum is 77.

The spelling of 320946778951457 in words is "three hundred twenty trillion, nine hundred forty-six billion, seven hundred seventy-eight million, nine hundred fifty-one thousand, four hundred fifty-seven".