189408512 has 72 divisors (see below), whose sum is σ = 404221440. Its totient is φ = 88381440.

The previous prime is 189408503. The next prime is 189408517. The reversal of 189408512 is 215804981.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (189408517) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 229733 + ... + 230555.

Almost surely, 2^189408512 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 189408512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202110720).

189408512 is an abundant number, since it is smaller than the sum of its proper divisors (214812928).

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

189408512 is an equidigital number, since it uses as much as digits as its factorization.

189408512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 899 (or 885 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 38.

The square root of 189408512 is about 13762.5765029663. The cubic root of 189408512 is about 574.2925257289.

The spelling of 189408512 in words is "one hundred eighty-nine million, four hundred eight thousand, five hundred twelve".