189305328940 has 192 divisors, whose sum is σ = 501822720000. Its totient is φ = 59605362432.

The previous prime is 189305328937. The next prime is 189305328941. The reversal of 189305328940 is 49823503981.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is not an unprimeable number, because it can be changed into a prime (189305328941) 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 63 ways as a sum of consecutive naturals, for example, 17741487 + ... + 17752153.

It is an arithmetic number, because the mean of its divisors is an integer number (2613660000).

Almost surely, 2^189305328940 is an apocalyptic number.

189305328940 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 189305328940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250911360000).

189305328940 is an abundant number, since it is smaller than the sum of its proper divisors (312517391060).

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

189305328940 is a wasteful number, since it uses less digits than its factorization.

189305328940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10909 (or 10893 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 52.

The spelling of 189305328940 in words is "one hundred eighty-nine billion, three hundred five million, three hundred twenty-eight thousand, nine hundred forty".