199209428352 has 640 divisors, whose sum is σ = 672854016000. Its totient is φ = 57959193600.

The previous prime is 199209428347. The next prime is 199209428377. The reversal of 199209428352 is 253824902991.

199209428352 is a `hidden beast` number, since 1 + 9 + 9 + 209 + 428 + 3 + 5 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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 79 ways as a sum of consecutive naturals, for example, 1568578113 + ... + 1568578239.

It is an arithmetic number, because the mean of its divisors is an integer number (1051334400).

Almost surely, 2^199209428352 is an apocalyptic number.

199209428352 is a gapful number since it is divisible by the number (12) 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 199209428352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336427008000).

199209428352 is an abundant number, since it is smaller than the sum of its proper divisors (473644587648).

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

199209428352 is an equidigital number, since it uses as much as digits as its factorization.

199209428352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The spelling of 199209428352 in words is "one hundred ninety-nine billion, two hundred nine million, four hundred twenty-eight thousand, three hundred fifty-two".