854045980416 has 864 divisors, whose sum is σ = 2828451225600. Its totient is φ = 255839109120.

The previous prime is 854045980409. The next prime is 854045980421. The reversal of 854045980416 is 614089540458.

854045980416 is a `hidden beast` number, since 8 + 5 + 4 + 0 + 4 + 598 + 0 + 41 + 6 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (54).

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 95 ways as a sum of consecutive naturals, for example, 3573414025 + ... + 3573414263.

It is an arithmetic number, because the mean of its divisors is an integer number (3273670400).

Almost surely, 2^854045980416 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 854045980416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1414225612800).

854045980416 is an abundant number, since it is smaller than the sum of its proper divisors (1974405245184).

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

854045980416 is a wasteful number, since it uses less digits than its factorization.

854045980416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 427 (or 401 counting only the distinct ones).

The product of its (nonzero) digits is 5529600, while the sum is 54.

The spelling of 854045980416 in words is "eight hundred fifty-four billion, forty-five million, nine hundred eighty thousand, four hundred sixteen".