1838217798144 has 1280 divisors, whose sum is σ = 6985029596160. Its totient is φ = 464380231680.

The previous prime is 1838217798143. The next prime is 1838217798187. The reversal of 1838217798144 is 4418977128381.

1838217798144 is a `hidden beast` number, since 1 + 8 + 382 + 177 + 9 + 81 + 4 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

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

It is not an unprimeable number, because it can be changed into a prime (1838217798143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3397814514 + ... + 3397815054.

It is an arithmetic number, because the mean of its divisors is an integer number (5457054372).

Almost surely, 2^{1838217798144} is an apocalyptic number.

1838217798144 is a gapful number since it is divisible by the number (14) 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 1838217798144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3492514798080).

1838217798144 is an abundant number, since it is smaller than the sum of its proper divisors (5146811798016).

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

1838217798144 is a wasteful number, since it uses less digits than its factorization.

1838217798144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 698 (or 676 counting only the distinct ones).

The product of its digits is 21676032, while the sum is 63.

The spelling of 1838217798144 in words is "one trillion, eight hundred thirty-eight billion, two hundred seventeen million, seven hundred ninety-eight thousand, one hundred forty-four".