904036318416 has 960 divisors, whose sum is σ = 3495776256000. Its totient is φ = 220567173120.

The previous prime is 904036318399. The next prime is 904036318417. The reversal of 904036318416 is 614813630409.

904036318416 is a `hidden beast` number, since 9 + 0 + 4 + 0 + 3 + 631 + 8 + 4 + 1 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (904036318417) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 561861420 + ... + 561863028.

It is an arithmetic number, because the mean of its divisors is an integer number (3641433600).

Almost surely, 2^904036318416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 904036318416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1747888128000).

904036318416 is an abundant number, since it is smaller than the sum of its proper divisors (2591739937584).

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

904036318416 is a wasteful number, since it uses less digits than its factorization.

904036318416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1797 (or 1778 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 904036318416 in words is "nine hundred four billion, thirty-six million, three hundred eighteen thousand, four hundred sixteen".