6127144665642 has 384 divisors, whose sum is σ = 18089910558720. Its totient is φ = 1447312043520.

The previous prime is 6127144665589. The next prime is 6127144665709. The reversal of 6127144665642 is 2465664417216.

6127144665642 is a `hidden beast` number, since 6 + 1 + 2 + 7 + 14 + 4 + 66 + 564 + 2 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 365594859 + ... + 365611617.

It is an arithmetic number, because the mean of its divisors is an integer number (47109142080).

Almost surely, 2^{6127144665642} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6127144665642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9044955279360).

6127144665642 is an abundant number, since it is smaller than the sum of its proper divisors (11962765893078).

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

6127144665642 is a wasteful number, since it uses less digits than its factorization.

6127144665642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17098 (or 17095 counting only the distinct ones).

The product of its digits is 11612160, while the sum is 54.

The spelling of 6127144665642 in words is "six trillion, one hundred twenty-seven billion, one hundred forty-four million, six hundred sixty-five thousand, six hundred forty-two".