900990099009 has 288 divisors, whose sum is σ = 1883968778880. Its totient is φ = 420323904000.

The previous prime is 900990098969. The next prime is 900990099011.

900990099009 is nontrivially palindromic in base 10.

900990099009 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 900990099009 - 2¹⁵ = 900990066241 is a prime.

900990099009 is a modest number, since divided by 90099009 gives 9009 as remainder.

It is not an unprimeable number, because it can be changed into a prime (900990099059) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 90994959 + ... + 91004859.

It is an arithmetic number, because the mean of its divisors is an integer number (6541558260).

Almost surely, 2^900990099009 is an apocalyptic number.

900990099009 is a gapful number since it is divisible by the number (99) formed by its first and last digit.

It is an amenable number.

900990099009 is an abundant number, since it is smaller than the sum of its proper divisors (982978679871).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

900990099009 is a wasteful number, since it uses less digits than its factorization.

900990099009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9998 (or 9972 counting only the distinct ones).

The product of its (nonzero) digits is 531441, while the sum is 54.

The spelling of 900990099009 in words is "nine hundred billion, nine hundred ninety million, ninety-nine thousand, nine".