189246816 has 288 divisors, whose sum is σ = 634023936. Its totient is φ = 52992000.

The previous prime is 189246803. The next prime is 189246851. The reversal of 189246816 is 618642981.

189246816 is a `hidden beast` number, since 189 + 2 + 468 + 1 + 6 = 666.

189246816 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a super-3 number, since 3×189246816³ (a number of 26 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4026505 + ... + 4026551.

It is an arithmetic number, because the mean of its divisors is an integer number (2201472).

Almost surely, 2^189246816 is an apocalyptic number.

189246816 is a gapful number since it is divisible by the number (16) 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 189246816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317011968).

189246816 is an abundant number, since it is smaller than the sum of its proper divisors (444777120).

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

189246816 is a wasteful number, since it uses less digits than its factorization.

189246816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 135 counting only the distinct ones).

The product of its digits is 165888, while the sum is 45.

The square root of 189246816 is about 13756.7007672625. The cubic root of 189246816 is about 574.1290567617.

The spelling of 189246816 in words is "one hundred eighty-nine million, two hundred forty-six thousand, eight hundred sixteen".