618141816 has 96 divisors (see below), whose sum is σ = 1704175200. Its totient is φ = 202387200.

The previous prime is 618141793. The next prime is 618141817.

618141816 is a `hidden beast` number, since 618 + 14 + 18 + 16 = 666.

618141816 is nontrivially palindromic in base 10.

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

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

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (618141817) 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, 1214170 + ... + 1214678.

It is an arithmetic number, because the mean of its divisors is an integer number (17751825).

Almost surely, 2^618141816 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 618141816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (852087600).

618141816 is an abundant number, since it is smaller than the sum of its proper divisors (1086033384).

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

618141816 is a wasteful number, since it uses less digits than its factorization.

618141816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 789 (or 782 counting only the distinct ones).

The product of its digits is 9216, while the sum is 36.

The square root of 618141816 is about 24862.4579637654. The cubic root of 618141816 is about 851.8491765028.

The spelling of 618141816 in words is "six hundred eighteen million, one hundred forty-one thousand, eight hundred sixteen".