904047856128 has 480 divisors, whose sum is σ = 2803790932800. Its totient is φ = 279583653888.

The previous prime is 904047856093. The next prime is 904047856181. The reversal of 904047856128 is 821658740409.

It is a happy number.

904047856128 is a `hidden beast` number, since 9 + 0 + 4 + 0 + 4 + 78 + 561 + 2 + 8 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1343310000 + ... + 1343310672.

It is an arithmetic number, because the mean of its divisors is an integer number (5841231110).

Almost surely, 2^904047856128 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 904047856128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1401895466400).

904047856128 is an abundant number, since it is smaller than the sum of its proper divisors (1899743076672).

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

904047856128 is a wasteful number, since it uses less digits than its factorization.

904047856128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1012 (or 993 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 904047856128 in words is "nine hundred four billion, forty-seven million, eight hundred fifty-six thousand, one hundred twenty-eight".