918084816 has 120 divisors (see below), whose sum is σ = 2816292960. Its totient is φ = 276883200.

The previous prime is 918084799. The next prime is 918084821. The reversal of 918084816 is 618480819.

918084816 is a `hidden beast` number, since 91 + 80 + 8 + 481 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 361471 + ... + 364001.

It is an arithmetic number, because the mean of its divisors is an integer number (23469108).

Almost surely, 2^918084816 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 918084816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1408146480).

918084816 is an abundant number, since it is smaller than the sum of its proper divisors (1898208144).

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

918084816 is a wasteful number, since it uses less digits than its factorization.

918084816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2785 (or 2776 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 45.

The square root of 918084816 is about 30299.9144553248. The cubic root of 918084816 is about 971.9134709337.

The spelling of 918084816 in words is "nine hundred eighteen million, eighty-four thousand, eight hundred sixteen".