854917861741056 has 1120 divisors, whose sum is σ = 2781174721425408. Its totient is φ = 261356570542080.

The previous prime is 854917861741043. The next prime is 854917861741169. The reversal of 854917861741056 is 650147168719458.

It is a happy number.

854917861741056 is a `hidden beast` number, since 8 + 5 + 4 + 91 + 78 + 6 + 1 + 7 + 410 + 56 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 318168164545 + ... + 318168167231.

Almost surely, 2^{854917861741056} 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 854917861741056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1390587360712704).

854917861741056 is an abundant number, since it is smaller than the sum of its proper divisors (1926256859684352).

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

854917861741056 is a wasteful number, since it uses less digits than its factorization.

854917861741056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4004 (or 3973 counting only the distinct ones).

The product of its (nonzero) digits is 406425600, while the sum is 72.

The spelling of 854917861741056 in words is "eight hundred fifty-four trillion, nine hundred seventeen billion, eight hundred sixty-one million, seven hundred forty-one thousand, fifty-six".