6141383343648 has 864 divisors, whose sum is σ = 21838501601280. Its totient is φ = 1626476544000.

The previous prime is 6141383343617. The next prime is 6141383343649. The reversal of 6141383343648 is 8463433831416.

6141383343648 is a `hidden beast` number, since 6 + 1 + 4 + 138 + 33 + 436 + 48 = 666.

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 = 6141383343594 and 6141383343603.

It is not an unprimeable number, because it can be changed into a prime (6141383343649) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 8177607273 + ... + 8177608023.

It is an arithmetic number, because the mean of its divisors is an integer number (25276043520).

Almost surely, 2^{6141383343648} is an apocalyptic number.

6141383343648 is a gapful number since it is divisible by the number (68) 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 6141383343648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10919250800640).

6141383343648 is an abundant number, since it is smaller than the sum of its proper divisors (15697118257632).

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

6141383343648 is a wasteful number, since it uses less digits than its factorization.

6141383343648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1270 (or 1252 counting only the distinct ones).

The product of its digits is 11943936, while the sum is 54.

The spelling of 6141383343648 in words is "six trillion, one hundred forty-one billion, three hundred eighty-three million, three hundred forty-three thousand, six hundred forty-eight".