127344693168 has 1440 divisors, whose sum is σ = 525547077120. Its totient is φ = 27769651200.

The previous prime is 127344693143. The next prime is 127344693241. The reversal of 127344693168 is 861396443721.

127344693168 is a `hidden beast` number, since 12 + 7 + 3 + 4 + 469 + 3 + 168 = 666.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 3441748446 + ... + 3441748482.

It is an arithmetic number, because the mean of its divisors is an integer number (364963248).

Almost surely, 2^127344693168 is an apocalyptic number.

127344693168 is a gapful number since it is divisible by the number (18) 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 127344693168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262773538560).

127344693168 is an abundant number, since it is smaller than the sum of its proper divisors (398202383952).

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

127344693168 is a wasteful number, since it uses less digits than its factorization.

127344693168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 127 counting only the distinct ones).

The product of its digits is 5225472, while the sum is 54.

The spelling of 127344693168 in words is "one hundred twenty-seven billion, three hundred forty-four million, six hundred ninety-three thousand, one hundred sixty-eight".