189609507300304 has 160 divisors (see below), whose sum is σ = 455510501462016. Its totient is φ = 74452301660160.

The previous prime is 189609507300251. The next prime is 189609507300337. The reversal of 189609507300304 is 403003705906981.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1493383384 + ... + 1493510344.

Almost surely, 2^{189609507300304} is an apocalyptic number.

189609507300304 is a gapful number since it is divisible by the number (14) 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 189609507300304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227755250731008).

189609507300304 is an abundant number, since it is smaller than the sum of its proper divisors (265900994161712).

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

189609507300304 is a wasteful number, since it uses less digits than its factorization.

189609507300304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134613 (or 134607 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 55.

The spelling of 189609507300304 in words is "one hundred eighty-nine trillion, six hundred nine billion, five hundred seven million, three hundred thousand, three hundred four".