464514302105993 has 2 divisors, whose sum is σ = 464514302105994. Its totient is φ = 464514302105992.

The previous prime is 464514302105939. The next prime is 464514302106061. The reversal of 464514302105993 is 399501203415464.

It is a happy number.

Together with previous prime (464514302105939) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 319263887353849 + 145250414752144 = 17867957^2 + 12051988^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-464514302105993 is a prime.

It is a super-2 number, since 2×464514302105993² (a number of 30 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (464514302107993) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 232257151052996 + 232257151052997.

It is an arithmetic number, because the mean of its divisors is an integer number (232257151052997).

Almost surely, 2^{464514302105993} is an apocalyptic number.

It is an amenable number.

464514302105993 is a deficient number, since it is larger than the sum of its proper divisors (1).

464514302105993 is an equidigital number, since it uses as much as digits as its factorization.

464514302105993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 13996800, while the sum is 56.

The spelling of 464514302105993 in words is "four hundred sixty-four trillion, five hundred fourteen billion, three hundred two million, one hundred five thousand, nine hundred ninety-three".