90448884409 has 8 divisors (see below), whose sum is σ = 98370913032. Its totient is φ = 82664630400.

The previous prime is 90448884397. The next prime is 90448884443.

90448884409 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 49228515625 + 41220368784 = 221875^2 + 203028^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 90448884409 - 2⁵ = 90448884377 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (90448884509) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 34442284 + ... + 34444909.

It is an arithmetic number, because the mean of its divisors is an integer number (12296364129).

Almost surely, 2^90448884409 is an apocalyptic number.

It is an amenable number.

90448884409 is a deficient number, since it is larger than the sum of its proper divisors (7922028623).

90448884409 is a wasteful number, since it uses less digits than its factorization.

90448884409 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68887307.

The product of its (nonzero) digits is 10616832, while the sum is 58.

The spelling of 90448884409 in words is "ninety billion, four hundred forty-eight million, eight hundred eighty-four thousand, four hundred nine".