854904869849088 has 864 divisors, whose sum is σ = 2707504238930400. Its totient is φ = 269463270260736.

The previous prime is 854904869849077. The next prime is 854904869849089. The reversal of 854904869849088 is 880948968409458.

854904869849088 is a `hidden beast` number, since 8 + 5 + 4 + 9 + 0 + 486 + 9 + 8 + 49 + 0 + 88 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a junction number, because it is equal to n+sod(n) for n = 854904869848989 and 854904869849007.

It is not an unprimeable number, because it can be changed into a prime (854904869849089) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 102224660395 + ... + 102224668757.

It is an arithmetic number, because the mean of its divisors is an integer number (3133685461725).

Almost surely, 2^{854904869849088} 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 854904869849088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1353752119465200).

854904869849088 is an abundant number, since it is smaller than the sum of its proper divisors (1852599369081312).

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

854904869849088 is an equidigital number, since it uses as much as digits as its factorization.

854904869849088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9007 (or 8956 counting only the distinct ones).

The product of its (nonzero) digits is 45864714240, while the sum is 90.

The spelling of 854904869849088 in words is "eight hundred fifty-four trillion, nine hundred four billion, eight hundred sixty-nine million, eight hundred forty-nine thousand, eighty-eight".