1438184105568 has 480 divisors, whose sum is σ = 4950278625600. Its totient is φ = 409433149440.

The previous prime is 1438184105557. The next prime is 1438184105569. The reversal of 1438184105568 is 8655014818341.

1438184105568 is a `hidden beast` number, since 1 + 4 + 3 + 8 + 1 + 84 + 1 + 0 + 556 + 8 = 666.

It is a super-3 number, since 3×1438184105568³ (a number of 37 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1438184105569) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 260490648 + ... + 260496168.

It is an arithmetic number, because the mean of its divisors is an integer number (10313080470).

Almost surely, 2^{1438184105568} is an apocalyptic number.

1438184105568 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1438184105568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2475139312800).

1438184105568 is an abundant number, since it is smaller than the sum of its proper divisors (3512094520032).

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

1438184105568 is an equidigital number, since it uses as much as digits as its factorization.

1438184105568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5857 (or 5826 counting only the distinct ones).

The product of its (nonzero) digits is 3686400, while the sum is 54.

The spelling of 1438184105568 in words is "one trillion, four hundred thirty-eight billion, one hundred eighty-four million, one hundred five thousand, five hundred sixty-eight".