189375324620928 has 256 divisors, whose sum is σ = 517779007119360. Its totient is φ = 61289042780160.

The previous prime is 189375324620863. The next prime is 189375324620929. The reversal of 189375324620928 is 829026423573981.

It is not an unprimeable number, because it can be changed into a prime (189375324620929) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13562646075 + ... + 13562660037.

It is an arithmetic number, because the mean of its divisors is an integer number (2022574246560).

It is a 2-persistent number, because it is pandigital, and so is 2⋅189375324620928 = 378750649241856, but 3⋅189375324620928 = 568125973862784 is not.

Almost surely, 2^{189375324620928} 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 189375324620928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258889503559680).

189375324620928 is an abundant number, since it is smaller than the sum of its proper divisors (328403682498432).

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

189375324620928 is a wasteful number, since it uses less digits than its factorization.

189375324620928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18107 (or 18095 counting only the distinct ones).

The product of its (nonzero) digits is 313528320, while the sum is 69.

The spelling of 189375324620928 in words is "one hundred eighty-nine trillion, three hundred seventy-five billion, three hundred twenty-four million, six hundred twenty thousand, nine hundred twenty-eight".