6233382144 has 216 divisors, whose sum is σ = 20027210112. Its totient is φ = 1848360960.

The previous prime is 6233382137. The next prime is 6233382149. The reversal of 6233382144 is 4412833326.

6233382144 is a `hidden beast` number, since 6 + 233 + 382 + 1 + 44 = 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 = 6233382099 and 6233382108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6233382149) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1188552 + ... + 1193784.

Almost surely, 2^6233382144 is an apocalyptic number.

6233382144 is a gapful number since it is divisible by the number (64) 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 6233382144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10013605056).

6233382144 is an abundant number, since it is smaller than the sum of its proper divisors (13793827968).

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

6233382144 is a wasteful number, since it uses less digits than its factorization.

6233382144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5313 (or 5296 counting only the distinct ones).

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

The square root of 6233382144 is about 78951.7709997692. The cubic root of 6233382144 is about 1840.3817481397.

The spelling of 6233382144 in words is "six billion, two hundred thirty-three million, three hundred eighty-two thousand, one hundred forty-four".