6141744126336 has 512 divisors, whose sum is σ = 20965279104000. Its totient is φ = 1582111899648.

The previous prime is 6141744126281. The next prime is 6141744126347. The reversal of 6141744126336 is 6336214471416.

It is a happy number.

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 congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 73585300 + ... + 73668716.

It is an arithmetic number, because the mean of its divisors is an integer number (40947810750).

Almost surely, 2^{6141744126336} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6141744126336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10482639552000).

6141744126336 is an abundant number, since it is smaller than the sum of its proper divisors (14823534977664).

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

6141744126336 is a wasteful number, since it uses less digits than its factorization.

6141744126336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83511 (or 83485 counting only the distinct ones).

The product of its digits is 1741824, while the sum is 48.

The spelling of 6141744126336 in words is "six trillion, one hundred forty-one billion, seven hundred forty-four million, one hundred twenty-six thousand, three hundred thirty-six".