1383218218368 has 640 divisors, whose sum is σ = 4955757312000. Its totient is φ = 382426168320.

The previous prime is 1383218218313. The next prime is 1383218218379. The reversal of 1383218218368 is 8638128123831.

1383218218368 is a `hidden beast` number, since 1 + 3 + 8 + 321 + 82 + 183 + 68 = 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 an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 110236671 + ... + 110249217.

It is an arithmetic number, because the mean of its divisors is an integer number (7743370800).

Almost surely, 2^{1383218218368} is an apocalyptic number.

1383218218368 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 1383218218368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2477878656000).

1383218218368 is an abundant number, since it is smaller than the sum of its proper divisors (3572539093632).

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

1383218218368 is an equidigital number, since it uses as much as digits as its factorization.

1383218218368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12625 (or 12590 counting only the distinct ones).

The product of its digits is 2654208, while the sum is 54.

The spelling of 1383218218368 in words is "one trillion, three hundred eighty-three billion, two hundred eighteen million, two hundred eighteen thousand, three hundred sixty-eight".