189378816 has 144 divisors (see below), whose sum is σ = 569540160. Its totient is φ = 55336960.

The previous prime is 189378769. The next prime is 189378829. The reversal of 189378816 is 618873981.

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, 244606 + ... + 245378.

It is an arithmetic number, because the mean of its divisors is an integer number (3955140).

Almost surely, 2^189378816 is an apocalyptic number.

189378816 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 189378816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284770080).

189378816 is an abundant number, since it is smaller than the sum of its proper divisors (380161344).

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

189378816 is a wasteful number, since it uses less digits than its factorization.

189378816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 832 (or 818 counting only the distinct ones).

The product of its digits is 580608, while the sum is 51.

The square root of 189378816 is about 13761.4975929221. The cubic root of 189378816 is about 574.2625110937.

The spelling of 189378816 in words is "one hundred eighty-nine million, three hundred seventy-eight thousand, eight hundred sixteen".