314644532104577 has 2 divisors, whose sum is σ = 314644532104578. Its totient is φ = 314644532104576.

The previous prime is 314644532104489. The next prime is 314644532104627. The reversal of 314644532104577 is 775401235446413.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 284021047349776 + 30623484754801 = 16852924^2 + 5533849^2 .

It is a cyclic number.

It is not a de Polignac number, because 314644532104577 - 2²⁰ = 314644531056001 is a prime.

It is not a weakly prime, because it can be changed into another prime (314644532404577) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 157322266052288 + 157322266052289.

It is an arithmetic number, because the mean of its divisors is an integer number (157322266052289).

Almost surely, 2^{314644532104577} is an apocalyptic number.

It is an amenable number.

314644532104577 is a deficient number, since it is larger than the sum of its proper divisors (1).

314644532104577 is an equidigital number, since it uses as much as digits as its factorization.

314644532104577 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 33868800, while the sum is 56.

The spelling of 314644532104577 in words is "three hundred fourteen trillion, six hundred forty-four billion, five hundred thirty-two million, one hundred four thousand, five hundred seventy-seven".