854240542848 has 512 divisors, whose sum is σ = 3216452659200. Its totient is φ = 216717742080.

The previous prime is 854240542829. The next prime is 854240542877. The reversal of 854240542848 is 848245042458.

854240542848 is a `hidden beast` number, since 8 + 54 + 2 + 4 + 0 + 542 + 8 + 48 = 666.

It is a super-2 number, since 2×854240542848² (a number of 25 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 854240542794 and 854240542803.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11405490 + ... + 11480142.

It is an arithmetic number, because the mean of its divisors is an integer number (6282134100).

Almost surely, 2^854240542848 is an apocalyptic number.

854240542848 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 854240542848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1608226329600).

854240542848 is an abundant number, since it is smaller than the sum of its proper divisors (2362212116352).

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

854240542848 is a wasteful number, since it uses less digits than its factorization.

854240542848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74737 (or 74719 counting only the distinct ones).

The product of its (nonzero) digits is 13107200, while the sum is 54.

The spelling of 854240542848 in words is "eight hundred fifty-four billion, two hundred forty million, five hundred forty-two thousand, eight hundred forty-eight".