189666921600 has 384 divisors, whose sum is σ = 747527155200. Its totient is φ = 46686965760.

The previous prime is 189666921559. The next prime is 189666921601. The reversal of 189666921600 is 6129666981.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×189666921600² (a number of 23 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (189666921601) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 1038769 + ... + 1207631.

It is an arithmetic number, because the mean of its divisors is an integer number (1946685300).

Almost surely, 2^189666921600 is an apocalyptic number.

189666921600 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 189666921600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (373763577600).

189666921600 is an abundant number, since it is smaller than the sum of its proper divisors (557860233600).

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

189666921600 is a wasteful number, since it uses less digits than its factorization.

189666921600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168909 (or 168886 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 54.

The spelling of 189666921600 in words is "one hundred eighty-nine billion, six hundred sixty-six million, nine hundred twenty-one thousand, six hundred".