90021322312009 has 64 divisors (see below), whose sum is σ = 104930961408000. Its totient is φ = 76368225003840.

The previous prime is 90021322312007. The next prime is 90021322312073.

90021322312009 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 90021322312009 - 2¹ = 90021322312007 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (90021322312001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19239433932 + ... + 19239438610.

It is an arithmetic number, because the mean of its divisors is an integer number (1639546272000).

Almost surely, 2^{90021322312009} is an apocalyptic number.

It is an amenable number.

90021322312009 is a deficient number, since it is larger than the sum of its proper divisors (14909639095991).

90021322312009 is a wasteful number, since it uses less digits than its factorization.

90021322312009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7858.

The product of its (nonzero) digits is 11664, while the sum is 34.

The spelling of 90021322312009 in words is "ninety trillion, twenty-one billion, three hundred twenty-two million, three hundred twelve thousand, nine".