18683281344 has 448 divisors, whose sum is σ = 62926976000. Its totient is φ = 4860850176.

The previous prime is 18683281319. The next prime is 18683281399. The reversal of 18683281344 is 44318238681.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (48).

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

It is a junction number, because it is equal to n+sod(n) for n = 18683281293 and 18683281302.

It is a congruent number.

It is an unprimeable number.

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, 119001714 + ... + 119001870.

It is an arithmetic number, because the mean of its divisors is an integer number (140462000).

Almost surely, 2^18683281344 is an apocalyptic number.

18683281344 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 18683281344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31463488000).

18683281344 is an abundant number, since it is smaller than the sum of its proper divisors (44243694656).

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

18683281344 is a wasteful number, since it uses less digits than its factorization.

18683281344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 345 (or 321 counting only the distinct ones).

The product of its digits is 884736, while the sum is 48.

The spelling of 18683281344 in words is "eighteen billion, six hundred eighty-three million, two hundred eighty-one thousand, three hundred forty-four".