189149184000 has 768 divisors, whose sum is σ = 780418042560. Its totient is φ = 43175116800.

The previous prime is 189149183989. The next prime is 189149184001. The reversal of 189149184000 is 481941981.

189149184000 is a `hidden beast` number, since 1 + 89 + 1 + 491 + 84 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (189149184001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 258047634 + ... + 258048366.

Almost surely, 2^189149184000 is an apocalyptic number.

189149184000 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 189149184000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (390209021280).

189149184000 is an abundant number, since it is smaller than the sum of its proper divisors (591268858560).

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

189149184000 is an frugal number, since it uses more digits than its factorization.

189149184000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 791 (or 750 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 45.

The spelling of 189149184000 in words is "one hundred eighty-nine billion, one hundred forty-nine million, one hundred eighty-four thousand".