9002067668145 has 32 divisors (see below), whose sum is σ = 16004848400640. Its totient is φ = 4800750992640.

The previous prime is 9002067668129. The next prime is 9002067668149. The reversal of 9002067668145 is 5418667602009.

It is not a de Polignac number, because 9002067668145 - 2⁴ = 9002067668129 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 9002067668091 and 9002067668100.

It is not an unprimeable number, because it can be changed into a prime (9002067668149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 588216 + ... + 4283705.

It is an arithmetic number, because the mean of its divisors is an integer number (500151512520).

Almost surely, 2^{9002067668145} is an apocalyptic number.

It is an amenable number.

9002067668145 is a deficient number, since it is larger than the sum of its proper divisors (7002780732495).

9002067668145 is a wasteful number, since it uses less digits than its factorization.

9002067668145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4885622 (or 4885616 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 9002067668145 in words is "nine trillion, two billion, sixty-seven million, six hundred sixty-eight thousand, one hundred forty-five".