127741392312768 has 336 divisors, whose sum is σ = 425645060742720. Its totient is φ = 36299709186048.

The previous prime is 127741392312713. The next prime is 127741392312769. The reversal of 127741392312768 is 867213293147721.

127741392312768 is a `hidden beast` number, since 1 + 2 + 7 + 7 + 413 + 92 + 3 + 127 + 6 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (127741392312769) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7793721 + ... + 17782712.

It is an arithmetic number, because the mean of its divisors is an integer number (1266800776020).

Almost surely, 2^{127741392312768} is an apocalyptic number.

127741392312768 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

127741392312768 is an abundant number, since it is smaller than the sum of its proper divisors (297903668429952).

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

127741392312768 is a wasteful number, since it uses less digits than its factorization.

127741392312768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25576516 (or 25576503 counting only the distinct ones).

The product of its digits is 42674688, while the sum is 63.

The spelling of 127741392312768 in words is "one hundred twenty-seven trillion, seven hundred forty-one billion, three hundred ninety-two million, three hundred twelve thousand, seven hundred sixty-eight".