854496615168 has 630 divisors, whose sum is σ = 2984918937084. Its totient is φ = 244013865984.

The previous prime is 854496615149. The next prime is 854496615191. The reversal of 854496615168 is 861516694458.

854496615168 is a `hidden beast` number, since 8 + 5 + 4 + 4 + 9 + 6 + 615 + 1 + 6 + 8 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 69 ways as a sum of consecutive naturals, for example, 448083271 + ... + 448085177.

Almost surely, 2^854496615168 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 854496615168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1492459468542).

854496615168 is an abundant number, since it is smaller than the sum of its proper divisors (2130422321916).

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

854496615168 is an frugal number, since it uses more digits than its factorization.

854496615168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1969 (or 1919 counting only the distinct ones).

The product of its digits is 49766400, while the sum is 63.

The spelling of 854496615168 in words is "eight hundred fifty-four billion, four hundred ninety-six million, six hundred fifteen thousand, one hundred sixty-eight".