189748231200 has 648 divisors, whose sum is σ = 738735506964. Its totient is φ = 45794918400.

The previous prime is 189748231187. The next prime is 189748231207. The reversal of 189748231200 is 2132847981.

It is a happy number.

It is a Cunningham number, because it is equal to 435601²-1.

It can be written as a sum of positive squares in 6 ways, for example, as 15428620944 + 174319610256 = 124212^2 + 417516^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (189748231207) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 307533292 + ... + 307533908.

Almost surely, 2^189748231200 is an apocalyptic number.

189748231200 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 189748231200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (369367753482).

189748231200 is an abundant number, since it is smaller than the sum of its proper divisors (548987275764).

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

189748231200 is a wasteful number, since it uses less digits than its factorization.

189748231200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1018 (or 991 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 189748231200 in words is "one hundred eighty-nine billion, seven hundred forty-eight million, two hundred thirty-one thousand, two hundred".