1663344144 has 240 divisors, whose sum is σ = 5892956160. Its totient is φ = 425399040.

The previous prime is 1663344143. The next prime is 1663344149. The reversal of 1663344144 is 4414433661.

1663344144 is a `hidden beast` number, since 1 + 6 + 633 + 4 + 4 + 14 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 = 1663344099 and 1663344108.

It is not an unprimeable number, because it can be changed into a prime (1663344143) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 741777 + ... + 744015.

It is an arithmetic number, because the mean of its divisors is an integer number (24553984).

Almost surely, 2^1663344144 is an apocalyptic number.

1663344144 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 1663344144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2946478080).

1663344144 is an abundant number, since it is smaller than the sum of its proper divisors (4229612016).

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

1663344144 is a wasteful number, since it uses less digits than its factorization.

1663344144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2338 (or 2329 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

The square root of 1663344144 is about 40784.1163199597. The cubic root of 1663344144 is about 1184.8427201396.

The spelling of 1663344144 in words is "one billion, six hundred sixty-three million, three hundred forty-four thousand, one hundred forty-four".