189301083336960 has 648 divisors, whose sum is σ = 705756036646080. Its totient is φ = 43117464305664.

The previous prime is 189301083336929. The next prime is 189301083336961. The reversal of 189301083336960 is 69633380103981.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 189301083336894 and 189301083336903.

It is not an unprimeable number, because it can be changed into a prime (189301083336961) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 16153341981 + ... + 16153353699.

Almost surely, 2^{189301083336960} is an apocalyptic number.

189301083336960 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 189301083336960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352878018323040).

189301083336960 is an abundant number, since it is smaller than the sum of its proper divisors (516454953309120).

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

189301083336960 is an equidigital number, since it uses as much as digits as its factorization.

189301083336960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12343 (or 12029 counting only the distinct ones).

The product of its (nonzero) digits is 15116544, while the sum is 60.

The spelling of 189301083336960 in words is "one hundred eighty-nine trillion, three hundred one billion, eighty-three million, three hundred thirty-six thousand, nine hundred sixty".