1618282944 has 252 divisors, whose sum is σ = 4995952416. Its totient is φ = 500527104.

The previous prime is 1618282937. The next prime is 1618282957. The reversal of 1618282944 is 4492828161.

1618282944 is a `hidden beast` number, since 1 + 618 + 2 + 8 + 29 + 4 + 4 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1618282944.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 14321032 + ... + 14321144.

It is an arithmetic number, because the mean of its divisors is an integer number (19825208).

Almost surely, 2^1618282944 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 1618282944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2497976208).

1618282944 is an abundant number, since it is smaller than the sum of its proper divisors (3377669472).

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

1618282944 is a wasteful number, since it uses less digits than its factorization.

1618282944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 188 counting only the distinct ones).

The product of its digits is 221184, while the sum is 45.

The square root of 1618282944 is about 40227.8876402925. The cubic root of 1618282944 is about 1174.0452044929.

The spelling of 1618282944 in words is "one billion, six hundred eighteen million, two hundred eighty-two thousand, nine hundred forty-four".