127144242918 has 256 divisors, whose sum is σ = 355829760000. Its totient is φ = 32692066560.

The previous prime is 127144242881. The next prime is 127144242923. The reversal of 127144242918 is 819242441721.

127144242918 is a `hidden beast` number, since 12 + 71 + 442 + 42 + 91 + 8 = 666.

Its product of digits (258048) is a multiple of the sum of its prime factors (1024).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 254797833 + ... + 254798331.

It is an arithmetic number, because the mean of its divisors is an integer number (1389960000).

Almost surely, 2^127144242918 is an apocalyptic number.

127144242918 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 127144242918, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177914880000).

127144242918 is an abundant number, since it is smaller than the sum of its proper divisors (228685517082).

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

127144242918 is a wasteful number, since it uses less digits than its factorization.

127144242918 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1024 (or 1018 counting only the distinct ones).

The product of its digits is 258048, while the sum is 45.

The spelling of 127144242918 in words is "one hundred twenty-seven billion, one hundred forty-four million, two hundred forty-two thousand, nine hundred eighteen".