9034888331007 has 480 divisors, whose sum is σ = 18940349387520. Its totient is φ = 4224103188480.

The previous prime is 9034888330967. The next prime is 9034888331017. The reversal of 9034888331007 is 7001338884309.

9034888331007 is a `hidden beast` number, since 90 + 348 + 88 + 33 + 100 + 7 = 666.

It is not a de Polignac number, because 9034888331007 - 2¹¹ = 9034888328959 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9034888331017) by changing a digit.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 2303053948 + ... + 2303057870.

It is an arithmetic number, because the mean of its divisors is an integer number (39459061224).

Almost surely, 2^{9034888331007} is an apocalyptic number.

9034888331007 is an abundant number, since it is smaller than the sum of its proper divisors (9905461056513).

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

9034888331007 is a wasteful number, since it uses less digits than its factorization.

9034888331007 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4113 (or 4097 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 9034888331007 in words is "nine trillion, thirty-four billion, eight hundred eighty-eight million, three hundred thirty-one thousand, seven".