854944420030848 has 576 divisors, whose sum is σ = 2877602920639200. Its totient is φ = 243639744897024.

The previous prime is 854944420030837. The next prime is 854944420030871. The reversal of 854944420030848 is 848030024449458.

It is a happy number.

854944420030848 is a `hidden beast` number, since 8 + 5 + 49 + 4 + 44 + 200 + 308 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×854944420030848² (a number of 31 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 7531630540 + ... + 7531744052.

Almost surely, 2^{854944420030848} 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 854944420030848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1438801460319600).

854944420030848 is an abundant number, since it is smaller than the sum of its proper divisors (2022658500608352).

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

854944420030848 is an equidigital number, since it uses as much as digits as its factorization.

854944420030848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113957 (or 113914 counting only the distinct ones).

The product of its (nonzero) digits is 141557760, while the sum is 63.

The spelling of 854944420030848 in words is "eight hundred fifty-four trillion, nine hundred forty-four billion, four hundred twenty million, thirty thousand, eight hundred forty-eight".