90584100634633 has 2 divisors, whose sum is σ = 90584100634634. Its totient is φ = 90584100634632.

The previous prime is 90584100634583. The next prime is 90584100634669. The reversal of 90584100634633 is 33643600148509.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 90584100634624 + 9 = 9517568^2 + 3^2 .

It is a cyclic number.

It is not a de Polignac number, because 90584100634633 - 2¹³ = 90584100626441 is a prime.

It is not a weakly prime, because it can be changed into another prime (90584100634693) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 45292050317316 + 45292050317317.

It is an arithmetic number, because the mean of its divisors is an integer number (45292050317317).

Almost surely, 2^{90584100634633} is an apocalyptic number.

It is an amenable number.

90584100634633 is a deficient number, since it is larger than the sum of its proper divisors (1).

90584100634633 is an equidigital number, since it uses as much as digits as its factorization.

90584100634633 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5598720, while the sum is 52.

The spelling of 90584100634633 in words is "ninety trillion, five hundred eighty-four billion, one hundred million, six hundred thirty-four thousand, six hundred thirty-three".