9189282816 has 880 divisors, whose sum is σ = 35666928000. Its totient is φ = 2341011456.

The previous prime is 9189282779. The next prime is 9189282827. The reversal of 9189282816 is 6182829819.

It is a Harshad number since it is a multiple of its sum of digits (54).

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

Its product of digits (995328) is a multiple of the sum of its prime divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 483646455 + ... + 483646473.

It is an arithmetic number, because the mean of its divisors is an integer number (40530600).

Almost surely, 2^9189282816 is an apocalyptic number.

9189282816 is a gapful number since it is divisible by the number (96) 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 9189282816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17833464000).

9189282816 is an abundant number, since it is smaller than the sum of its proper divisors (26477645184).

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

9189282816 is a wasteful number, since it uses less digits than its factorization.

9189282816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 48 counting only the distinct ones).

The product of its digits is 995328, while the sum is 54.

The square root of 9189282816 is about 95860.7470031399. The cubic root of 9189282816 is about 2094.5651465952.

The spelling of 9189282816 in words is "nine billion, one hundred eighty-nine million, two hundred eighty-two thousand, eight hundred sixteen".