199746588072 has 128 divisors (see below), whose sum is σ = 530004384000. Its totient is φ = 62605221888.

The previous prime is 199746588043. The next prime is 199746588077. The reversal of 199746588072 is 270885647991.

It is a super-3 number, since 3×199746588072³ (a number of 35 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 199746587994 and 199746588012.

It is not an unprimeable number, because it can be changed into a prime (199746588077) 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 31 ways as a sum of consecutive naturals, for example, 7965538 + ... + 7990574.

It is an arithmetic number, because the mean of its divisors is an integer number (4140659250).

Almost surely, 2^199746588072 is an apocalyptic number.

199746588072 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 199746588072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265002192000).

199746588072 is an abundant number, since it is smaller than the sum of its proper divisors (330257795928).

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

199746588072 is a wasteful number, since it uses less digits than its factorization.

199746588072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25315 (or 25311 counting only the distinct ones).

The product of its (nonzero) digits is 60963840, while the sum is 66.

The spelling of 199746588072 in words is "one hundred ninety-nine billion, seven hundred forty-six million, five hundred eighty-eight thousand, seventy-two".