189966345984 has 288 divisors, whose sum is σ = 601377504000. Its totient is φ = 58970198016.

The previous prime is 189966345983. The next prime is 189966346013. The reversal of 189966345984 is 489543669981.

189966345984 is a `hidden beast` number, since 1 + 8 + 9 + 96 + 6 + 3 + 459 + 84 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (189966345983) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7736094 + ... + 7760610.

Almost surely, 2^189966345984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 189966345984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300688752000).

189966345984 is an abundant number, since it is smaller than the sum of its proper divisors (411411158016).

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

189966345984 is a wasteful number, since it uses less digits than its factorization.

189966345984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24620 (or 24600 counting only the distinct ones).

The product of its digits is 403107840, while the sum is 72.

The spelling of 189966345984 in words is "one hundred eighty-nine billion, nine hundred sixty-six million, three hundred forty-five thousand, nine hundred eighty-four".