9003000293238 has 128 divisors (see below), whose sum is σ = 21709423411200. Its totient is φ = 2485426114080.

The previous prime is 9003000293219. The next prime is 9003000293239. The reversal of 9003000293238 is 8323920003009.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 9003000293196 and 9003000293205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9003000293239) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 40912381 + ... + 41131847.

It is an arithmetic number, because the mean of its divisors is an integer number (169604870400).

Almost surely, 2^{9003000293238} is an apocalyptic number.

9003000293238 is a gapful number since it is divisible by the number (98) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 9003000293238, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10854711705600).

9003000293238 is an abundant number, since it is smaller than the sum of its proper divisors (12706423117962).

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

9003000293238 is a wasteful number, since it uses less digits than its factorization.

9003000293238 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220167 (or 220153 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 39.

The spelling of 9003000293238 in words is "nine trillion, three billion, two hundred ninety-three thousand, two hundred thirty-eight".