854086492224 has 189 divisors, whose sum is σ = 2848289797821. Its totient is φ = 243980352000.

The previous prime is 854086492211. The next prime is 854086492243. The reversal of 854086492224 is 422294680458.

The square root of 854086492224 is 924168.

It is a perfect power (a square), and thus also a powerful number.

854086492224 is a `hidden beast` number, since 8 + 5 + 408 + 6 + 4 + 9 + 2 + 224 = 666.

It can be written as a sum of positive squares in only one way, i.e., 838631029824 + 15455462400 = 915768^2 + 124320^2 .

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 155257474 + ... + 155262974.

Almost surely, 2^854086492224 is an apocalyptic number.

854086492224 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

854086492224 is the 924168-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 854086492224

854086492224 is an abundant number, since it is smaller than the sum of its proper divisors (1994203305597).

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

854086492224 is an frugal number, since it uses more digits than its factorization.

854086492224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11034 (or 5513 counting only the distinct ones).

The product of its (nonzero) digits is 8847360, while the sum is 54.

The spelling of 854086492224 in words is "eight hundred fifty-four billion, eighty-six million, four hundred ninety-two thousand, two hundred twenty-four".