199321290432 has 378 divisors, whose sum is σ = 652264274844. Its totient is φ = 60384994560.

The previous prime is 199321290431. The next prime is 199321290437. The reversal of 199321290432 is 234092123991.

It is a happy number.

199321290432 is a `hidden beast` number, since 1 + 9 + 9 + 321 + 290 + 4 + 32 = 666.

It is not an unprimeable number, because it can be changed into a prime (199321290431) by changing a digit.

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 53 ways as a sum of consecutive naturals, for example, 50806423 + ... + 50810345.

Almost surely, 2^199321290432 is an apocalyptic number.

199321290432 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 199321290432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326132137422).

199321290432 is an abundant number, since it is smaller than the sum of its proper divisors (452942984412).

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

199321290432 is an frugal number, since it uses more digits than its factorization.

199321290432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3981 (or 3939 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 45.

The spelling of 199321290432 in words is "one hundred ninety-nine billion, three hundred twenty-one million, two hundred ninety thousand, four hundred thirty-two".