1618182144 has 256 divisors, whose sum is σ = 5033088000. Its totient is φ = 513146880.

The previous prime is 1618182133. The next prime is 1618182151. The reversal of 1618182144 is 4412818161.

1618182144 is a `hidden beast` number, since 1 + 618 + 18 + 21 + 4 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (256).

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 and also a Zuckerman number because it is divisible by the product of its digits.

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 1618182099 and 1618182108.

It is a congruent number.

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, 27426787 + ... + 27426845.

It is an arithmetic number, because the mean of its divisors is an integer number (19660500).

Almost surely, 2^1618182144 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 1618182144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2516544000).

1618182144 is an abundant number, since it is smaller than the sum of its proper divisors (3414905856).

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

1618182144 is an frugal number, since it uses more digits than its factorization.

1618182144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 95 counting only the distinct ones).

The product of its digits is 12288, while the sum is 36.

The square root of 1618182144 is about 40226.6347585776. The cubic root of 1618182144 is about 1174.0208275827.

The spelling of 1618182144 in words is "one billion, six hundred eighteen million, one hundred eighty-two thousand, one hundred forty-four".