199887250248 has 384 divisors, whose sum is σ = 700910496000. Its totient is φ = 50084904960.

The previous prime is 199887250219. The next prime is 199887250273. The reversal of 199887250248 is 842052788991.

199887250248 is a `hidden beast` number, since 1 + 9 + 9 + 8 + 87 + 2 + 502 + 48 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9920248 + ... + 9940376.

It is an arithmetic number, because the mean of its divisors is an integer number (1825287750).

Almost surely, 2^199887250248 is an apocalyptic number.

199887250248 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 199887250248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350455248000).

199887250248 is an abundant number, since it is smaller than the sum of its proper divisors (501023245752).

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

199887250248 is a wasteful number, since it uses less digits than its factorization.

199887250248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20245 (or 20238 counting only the distinct ones).

The product of its (nonzero) digits is 23224320, while the sum is 63.

The spelling of 199887250248 in words is "one hundred ninety-nine billion, eight hundred eighty-seven million, two hundred fifty thousand, two hundred forty-eight".