90090009009 has 72 divisors (see below), whose sum is σ = 176043847616. Its totient is φ = 43199956800.

The previous prime is 90090008977. The next prime is 90090009047.

90090009009 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 90090009009 - 2⁵ = 90090008977 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (90090089009) 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 71 ways as a sum of consecutive naturals, for example, 355447 + ... + 553644.

Almost surely, 2^90090009009 is an apocalyptic number.

90090009009 is a gapful number since it is divisible by the number (99) formed by its first and last digit.

It is an amenable number.

90090009009 is a deficient number, since it is larger than the sum of its proper divisors (85953838607).

90090009009 is a wasteful number, since it uses less digits than its factorization.

90090009009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 909139 (or 909125 counting only the distinct ones).

The product of its (nonzero) digits is 6561, while the sum is 36.

It can be divided in two parts, 9009000 and 9009, that added together give a square (9018009 = 3003²).

The spelling of 90090009009 in words is "ninety billion, ninety million, nine thousand, nine".