189165916350000 has 480 divisors, whose sum is σ = 680846681148480. Its totient is φ = 50282968320000.

The previous prime is 189165916349881. The next prime is 189165916350071. The reversal of 189165916350000 is 53619561981.

189165916350000 is a `hidden beast` number, since 1 + 8 + 9 + 16 + 591 + 6 + 35 + 0 + 0 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 422326162 + ... + 422773838.

It is an arithmetic number, because the mean of its divisors is an integer number (1418430585726).

Almost surely, 2^{189165916350000} is an apocalyptic number.

189165916350000 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 189165916350000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340423340574240).

189165916350000 is an abundant number, since it is smaller than the sum of its proper divisors (491680764798480).

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

189165916350000 is an equidigital number, since it uses as much as digits as its factorization.

189165916350000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 448032 (or 448000 counting only the distinct ones).

The product of its (nonzero) digits is 1749600, while the sum is 54.

The spelling of 189165916350000 in words is "one hundred eighty-nine trillion, one hundred sixty-five billion, nine hundred sixteen million, three hundred fifty thousand".