189749952000 has 1680 divisors, whose sum is σ = 835169326992. Its totient is φ = 42848870400.

The previous prime is 189749951957. The next prime is 189749952019. The reversal of 189749952000 is 259947981.

189749952000 is a `hidden beast` number, since 18 + 97 + 499 + 52 + 0 + 0 + 0 = 666.

189749952000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1680).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 2286143959 + ... + 2286144041.

Almost surely, 2^189749952000 is an apocalyptic number.

189749952000 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 189749952000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (417584663496).

189749952000 is an abundant number, since it is smaller than the sum of its proper divisors (645419374992).

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

189749952000 is an frugal number, since it uses more digits than its factorization.

189749952000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 54.

The spelling of 189749952000 in words is "one hundred eighty-nine billion, seven hundred forty-nine million, nine hundred fifty-two thousand".