199825745648256 has 1792 divisors, whose sum is σ = 782509709721600. Its totient is φ = 49595163770880.

The previous prime is 199825745648233. The next prime is 199825745648303. The reversal of 199825745648256 is 652846547528991.

199825745648256 is a `hidden beast` number, since 1 + 9 + 9 + 8 + 25 + 7 + 4 + 564 + 8 + 25 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 24395765121 + ... + 24395773311.

It is an arithmetic number, because the mean of its divisors is an integer number (436668364800).

Almost surely, 2^{199825745648256} is an apocalyptic number.

199825745648256 is a gapful number since it is divisible by the number (16) 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 199825745648256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (391254854860800).

199825745648256 is an abundant number, since it is smaller than the sum of its proper divisors (582683964073344).

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

199825745648256 is an frugal number, since it uses more digits than its factorization.

199825745648256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8286 (or 8233 counting only the distinct ones).

The product of its digits is 10450944000, while the sum is 81.

The spelling of 199825745648256 in words is "one hundred ninety-nine trillion, eight hundred twenty-five billion, seven hundred forty-five million, six hundred forty-eight thousand, two hundred fifty-six".