9009004657055 has 96 divisors (see below), whose sum is σ = 13029820238400. Its totient is φ = 5926736314368.

The previous prime is 9009004656997. The next prime is 9009004657063. The reversal of 9009004657055 is 5507564009009.

It is a happy number.

It is not a de Polignac number, because 9009004657055 - 2¹⁰ = 9009004656031 is a prime.

It is a super-2 number, since 2×9009004657055² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 9009004656994 and 9009004657012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 432927491 + ... + 432948299.

It is an arithmetic number, because the mean of its divisors is an integer number (135727294150).

Almost surely, 2^{9009004657055} is an apocalyptic number.

9009004657055 is a gapful number since it is divisible by the number (95) formed by its first and last digit.

9009004657055 is a deficient number, since it is larger than the sum of its proper divisors (4020815581345).

9009004657055 is a wasteful number, since it uses less digits than its factorization.

9009004657055 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22093 (or 22076 counting only the distinct ones).

The product of its (nonzero) digits is 1701000, while the sum is 50.

The spelling of 9009004657055 in words is "nine trillion, nine billion, four million, six hundred fifty-seven thousand, fifty-five".