189760488634368 has 288 divisors, whose sum is σ = 558898277464800. Its totient is φ = 62013361618944.

The previous prime is 189760488634319. The next prime is 189760488634529. The reversal of 189760488634368 is 863436884067981.

189760488634368 is a `hidden beast` number, since 1 + 8 + 9 + 7 + 60 + 48 + 86 + 3 + 436 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 224282268 + ... + 225126756.

It is an arithmetic number, because the mean of its divisors is an integer number (1940619018975).

Almost surely, 2^{189760488634368} is an apocalyptic number.

189760488634368 is a gapful number since it is divisible by the number (18) 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 189760488634368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279449138732400).

189760488634368 is an abundant number, since it is smaller than the sum of its proper divisors (369137788830432).

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

189760488634368 is a wasteful number, since it uses less digits than its factorization.

189760488634368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 844757 (or 844734 counting only the distinct ones).

The product of its (nonzero) digits is 8026324992, while the sum is 81.

The spelling of 189760488634368 in words is "one hundred eighty-nine trillion, seven hundred sixty billion, four hundred eighty-eight million, six hundred thirty-four thousand, three hundred sixty-eight".