127864416741336 has 128 divisors (see below), whose sum is σ = 388866732710400. Its totient is φ = 38606912634240.

The previous prime is 127864416741211. The next prime is 127864416741379. The reversal of 127864416741336 is 633147614468721.

127864416741336 is a `hidden beast` number, since 1 + 2 + 7 + 86 + 4 + 416 + 7 + 4 + 133 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 96480820 + ... + 97797123.

It is an arithmetic number, because the mean of its divisors is an integer number (3038021349300).

Almost surely, 2^{127864416741336} is an apocalyptic number.

It is an amenable number.

127864416741336 is an abundant number, since it is smaller than the sum of its proper divisors (261002315969064).

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

127864416741336 is a wasteful number, since it uses less digits than its factorization.

127864416741336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194278246 (or 194278236 counting only the distinct ones).

The product of its digits is 97542144, while the sum is 63.

The spelling of 127864416741336 in words is "one hundred twenty-seven trillion, eight hundred sixty-four billion, four hundred sixteen million, seven hundred forty-one thousand, three hundred thirty-six".