90009000090009 has 384 divisors, whose sum is σ = 187630745702400. Its totient is φ = 40034252021760.

The previous prime is 90009000089993. The next prime is 90009000090017.

90009000090009 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 90009000090009 - 2⁴ = 90009000089993 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (90009000090409) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1711854882 + ... + 1711907460.

It is an arithmetic number, because the mean of its divisors is an integer number (488621733600).

Almost surely, 2^{90009000090009} is an apocalyptic number.

90009000090009 is a gapful number since it is divisible by the number (99) formed by its first and last digit.

It is an amenable number.

90009000090009 is an abundant number, since it is smaller than the sum of its proper divisors (97621745612391).

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

90009000090009 is a wasteful number, since it uses less digits than its factorization.

90009000090009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52845 (or 52842 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, 900090000 and 90009, that multiplied together give a square (81016200810000 = 9000900²).

The spelling of 90009000090009 in words is "ninety trillion, nine billion, ninety thousand, nine".