444746013336257 has 2 divisors, whose sum is σ = 444746013336258. Its totient is φ = 444746013336256.

The previous prime is 444746013336203. The next prime is 444746013336299. The reversal of 444746013336257 is 752633310647444.

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., 443968540854721 + 777472481536 = 21070561^2 + 881744^2 .

It is a cyclic number.

It is not a de Polignac number, because 444746013336257 - 2¹⁰ = 444746013335233 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 444746013336196 and 444746013336205.

It is not a weakly prime, because it can be changed into another prime (444746013335257) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 222373006668128 + 222373006668129.

It is an arithmetic number, because the mean of its divisors is an integer number (222373006668129).

Almost surely, 2^{444746013336257} is an apocalyptic number.

It is an amenable number.

444746013336257 is a deficient number, since it is larger than the sum of its proper divisors (1).

444746013336257 is an equidigital number, since it uses as much as digits as its factorization.

444746013336257 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 121927680, while the sum is 59.

The spelling of 444746013336257 in words is "four hundred forty-four trillion, seven hundred forty-six billion, thirteen million, three hundred thirty-six thousand, two hundred fifty-seven".