854234244864 has 864 divisors, whose sum is σ = 3374856576000. Its totient is φ = 204784312320.

The previous prime is 854234244841. The next prime is 854234244911. The reversal of 854234244864 is 468442432458.

854234244864 is a `hidden beast` number, since 8 + 542 + 34 + 2 + 4 + 4 + 8 + 64 = 666.

It is a super-2 number, since 2×854234244864² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 854234244864.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 113005117 + ... + 113012675.

It is an arithmetic number, because the mean of its divisors is an integer number (3906084000).

Almost surely, 2^854234244864 is an apocalyptic number.

854234244864 is a gapful number since it is divisible by the number (84) 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 854234244864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1687428288000).

854234244864 is an abundant number, since it is smaller than the sum of its proper divisors (2520622331136).

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

854234244864 is a wasteful number, since it uses less digits than its factorization.

854234244864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7626 (or 7595 counting only the distinct ones).

The product of its digits is 23592960, while the sum is 54.

The spelling of 854234244864 in words is "eight hundred fifty-four billion, two hundred thirty-four million, two hundred forty-four thousand, eight hundred sixty-four".