2418144386616 has 256 divisors, whose sum is σ = 8261471232000. Its totient is φ = 639596943360.

The previous prime is 2418144386579. The next prime is 2418144386617. The reversal of 2418144386616 is 6166834418142.

2418144386616 is a `hidden beast` number, since 2 + 4 + 1 + 8 + 14 + 4 + 3 + 8 + 6 + 616 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2418144386617) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 796825 + ... + 2339063.

It is an arithmetic number, because the mean of its divisors is an integer number (32271372000).

Almost surely, 2^{2418144386616} 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 2418144386616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4130735616000).

2418144386616 is an abundant number, since it is smaller than the sum of its proper divisors (5843326845384).

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

2418144386616 is a wasteful number, since it uses less digits than its factorization.

2418144386616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1542339 (or 1542329 counting only the distinct ones).

The product of its digits is 5308416, while the sum is 54.

The spelling of 2418144386616 in words is "two trillion, four hundred eighteen billion, one hundred forty-four million, three hundred eighty-six thousand, six hundred sixteen".