189983232000 has 728 divisors, whose sum is σ = 712281824280. Its totient is φ = 50562662400.

The previous prime is 189983231989. The next prime is 189983232011. The reversal of 189983232000 is 232389981.

It is an interprime number because it is at equal distance from previous prime (189983231989) and next prime (189983232011).

It can be written as a sum of positive squares in 4 ways, for example, as 361304064 + 189621927936 = 19008^2 + 435456^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 373247746 + ... + 373248254.

Almost surely, 2^189983232000 is an apocalyptic number.

189983232000 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 189983232000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356140912140).

189983232000 is an abundant number, since it is smaller than the sum of its proper divisors (522298592280).

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

189983232000 is an frugal number, since it uses more digits than its factorization.

189983232000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 566 (or 519 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 189983232000 in words is "one hundred eighty-nine billion, nine hundred eighty-three million, two hundred thirty-two thousand".