618303816 has 96 divisors (see below), whose sum is σ = 1811529720. Its totient is φ = 189388800.

The previous prime is 618303799. The next prime is 618303817.

618303816 is a `hidden beast` number, since 618 + 3 + 0 + 38 + 1 + 6 = 666.

618303816 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 443270916 + 175032900 = 21054^2 + 13230^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an alternating number because its digits alternate between even and odd.

It is not an unprimeable number, because it can be changed into a prime (618303817) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 224206 + ... + 226946.

Almost surely, 2^618303816 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 618303816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (905764860).

618303816 is an abundant number, since it is smaller than the sum of its proper divisors (1193225904).

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

618303816 is a wasteful number, since it uses less digits than its factorization.

618303816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3007 (or 3000 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 618303816 is about 24865.7156743980. The cubic root of 618303816 is about 851.9235863493.

The spelling of 618303816 in words is "six hundred eighteen million, three hundred three thousand, eight hundred sixteen".