189661480860288 has 256 divisors, whose sum is σ = 538116543037440. Its totient is φ = 58979786342400.

The previous prime is 189661480860253. The next prime is 189661480860301. The reversal of 189661480860288 is 882068084166981.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 456184281 + ... + 456599847.

It is an arithmetic number, because the mean of its divisors is an integer number (2102017746240).

Almost surely, 2^{189661480860288} 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 189661480860288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269058271518720).

189661480860288 is an abundant number, since it is smaller than the sum of its proper divisors (348455062177152).

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

189661480860288 is a wasteful number, since it uses less digits than its factorization.

189661480860288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 416215 (or 416203 counting only the distinct ones).

The product of its (nonzero) digits is 509607936, while the sum is 75.

The spelling of 189661480860288 in words is "one hundred eighty-nine trillion, six hundred sixty-one billion, four hundred eighty million, eight hundred sixty thousand, two hundred eighty-eight".