1618414144 has 56 divisors (see below), whose sum is σ = 3412101888. Its totient is φ = 758999040.

The previous prime is 1618414103. The next prime is 1618414153. The reversal of 1618414144 is 4414148161.

It is a Harshad number since it is a multiple of its sum of digits (34).

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 7 ways as a sum of consecutive naturals, for example, 335977 + ... + 340759.

It is a self-describing number.

Almost surely, 2^1618414144 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 1618414144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1706050944).

1618414144 is an abundant number, since it is smaller than the sum of its proper divisors (1793687744).

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

1618414144 is a wasteful number, since it uses less digits than its factorization.

1618414144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5123 (or 5113 counting only the distinct ones).

The product of its digits is 12288, while the sum is 34.

The square root of 1618414144 is about 40229.5183167783. The cubic root of 1618414144 is about 1174.0769316534.

The spelling of 1618414144 in words is "one billion, six hundred eighteen million, four hundred fourteen thousand, one hundred forty-four".