706329599824801 has 2 divisors, whose sum is σ = 706329599824802. Its totient is φ = 706329599824800.

The previous prime is 706329599824789. The next prime is 706329599824811. The reversal of 706329599824801 is 108428995923607.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 706294406440000 + 35193384801 = 26576200^2 + 187599^2 .

It is an emirp because it is prime and its reverse (108428995923607) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 706329599824801 - 2¹¹ = 706329599822753 is a prime.

It is not a weakly prime, because it can be changed into another prime (706329599824811) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 353164799912400 + 353164799912401.

It is an arithmetic number, because the mean of its divisors is an integer number (353164799912401).

It is a 1-persistent number, because it is pandigital, but 2⋅706329599824801 = 1412659199649602 is not.

Almost surely, 2^{706329599824801} is an apocalyptic number.

It is an amenable number.

706329599824801 is a deficient number, since it is larger than the sum of its proper divisors (1).

706329599824801 is an equidigital number, since it uses as much as digits as its factorization.

706329599824801 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 470292480, while the sum is 73.

The spelling of 706329599824801 in words is "seven hundred six trillion, three hundred twenty-nine billion, five hundred ninety-nine million, eight hundred twenty-four thousand, eight hundred one".