189664512 has 144 divisors (see below), whose sum is σ = 544521600. Its totient is φ = 58392576.

The previous prime is 189664493. The next prime is 189664547. The reversal of 189664512 is 215466981.

It is a super-2 number, since 2×189664512² = 71945254224396288, which contains 22 as substring.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 952989 + ... + 953187.

It is an arithmetic number, because the mean of its divisors is an integer number (3781400).

Almost surely, 2^189664512 is an apocalyptic number.

189664512 is a gapful number since it is divisible by the number (12) 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 189664512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272260800).

189664512 is an abundant number, since it is smaller than the sum of its proper divisors (354857088).

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

189664512 is a wasteful number, since it uses less digits than its factorization.

189664512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 308 (or 294 counting only the distinct ones).

The product of its digits is 103680, while the sum is 42.

The square root of 189664512 is about 13771.8739465622. The cubic root of 189664512 is about 574.5511425830.

The spelling of 189664512 in words is "one hundred eighty-nine million, six hundred sixty-four thousand, five hundred twelve".