464072735993 has 2 divisors, whose sum is σ = 464072735994. Its totient is φ = 464072735992.

The previous prime is 464072735981. The next prime is 464072736037. The reversal of 464072735993 is 399537270464.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 274043874064 + 190028861929 = 523492^2 + 435923^2 .

It is a cyclic number.

It is not a de Polignac number, because 464072735993 - 2⁴ = 464072735977 is a prime.

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 (464072735293) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 232036367996 + 232036367997.

It is an arithmetic number, because the mean of its divisors is an integer number (232036367997).

Almost surely, 2^464072735993 is an apocalyptic number.

It is an amenable number.

464072735993 is a deficient number, since it is larger than the sum of its proper divisors (1).

464072735993 is an equidigital number, since it uses as much as digits as its factorization.

464072735993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 34292160, while the sum is 59.

The spelling of 464072735993 in words is "four hundred sixty-four billion, seventy-two million, seven hundred thirty-five thousand, nine hundred ninety-three".