456322601444993 has 2 divisors, whose sum is σ = 456322601444994. Its totient is φ = 456322601444992.

The previous prime is 456322601444959. The next prime is 456322601445059. The reversal of 456322601444993 is 399444106223654.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 237023021384704 + 219299580060289 = 15395552^2 + 14808767^2 .

It is a cyclic number.

It is not a de Polignac number, because 456322601444993 - 2²⁴ = 456322584667777 is a prime.

It is not a weakly prime, because it can be changed into another prime (456322601444293) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 228161300722496 + 228161300722497.

It is an arithmetic number, because the mean of its divisors is an integer number (228161300722497).

Almost surely, 2^{456322601444993} is an apocalyptic number.

It is an amenable number.

456322601444993 is a deficient number, since it is larger than the sum of its proper divisors (1).

456322601444993 is an equidigital number, since it uses as much as digits as its factorization.

456322601444993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 134369280, while the sum is 62.

The spelling of 456322601444993 in words is "four hundred fifty-six trillion, three hundred twenty-two billion, six hundred one million, four hundred forty-four thousand, nine hundred ninety-three".