199851048 has 192 divisors, whose sum is σ = 620006400. Its totient is φ = 57784320.

The previous prime is 199851037. The next prime is 199851049. The reversal of 199851048 is 840158991.

199851048 is a `hidden beast` number, since 1 + 9 + 98 + 510 + 48 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 199850994 and 199851012.

It is not an unprimeable number, because it can be changed into a prime (199851049) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 872598 + ... + 872826.

It is an arithmetic number, because the mean of its divisors is an integer number (3229200).

Almost surely, 2^199851048 is an apocalyptic number.

199851048 is a gapful number since it is divisible by the number (18) 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 199851048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310003200).

199851048 is an abundant number, since it is smaller than the sum of its proper divisors (420155352).

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

199851048 is a wasteful number, since it uses less digits than its factorization.

199851048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 45.

The square root of 199851048 is about 14136.8683943793. The cubic root of 199851048 is about 584.6583321563.

The spelling of 199851048 in words is "one hundred ninety-nine million, eight hundred fifty-one thousand, forty-eight".