190664443200 has 1008 divisors, whose sum is σ = 820367493120. Its totient is φ = 37877452800.

The previous prime is 190664443199. The next prime is 190664443231. The reversal of 190664443200 is 2344466091.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 93507781 + ... + 93509819.

It is an arithmetic number, because the mean of its divisors is an integer number (813856640).

Almost surely, 2^190664443200 is an apocalyptic number.

190664443200 is a gapful number since it is divisible by the number (10) 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 190664443200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (410183746560).

190664443200 is an abundant number, since it is smaller than the sum of its proper divisors (629703049920).

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

190664443200 is a wasteful number, since it uses less digits than its factorization.

190664443200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2116 (or 2090 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 39.

The spelling of 190664443200 in words is "one hundred ninety billion, six hundred sixty-four million, four hundred forty-three thousand, two hundred".