127186427068416 has 405 divisors, whose sum is σ = 376711069917819. Its totient is φ = 41348905500672.

The previous prime is 127186427068411. The next prime is 127186427068457. The reversal of 127186427068416 is 614860724681721.

The square root of 127186427068416 is 11277696.

It is a perfect power (a square), and thus also a powerful number.

127186427068416 is a `hidden beast` number, since 1 + 2 + 71 + 86 + 4 + 2 + 70 + 6 + 8 + 416 = 666.

It is a super-3 number, since 3×127186427068416³ (a number of 43 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (127186427068411) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 186217316011 + ... + 186217316693.

Almost surely, 2^{127186427068416} is an apocalyptic number.

127186427068416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

127186427068416 is the 11277696-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 127186427068416

127186427068416 is an abundant number, since it is smaller than the sum of its proper divisors (249524642849403).

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

127186427068416 is an frugal number, since it uses more digits than its factorization.

127186427068416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1486 (or 731 counting only the distinct ones).

The product of its (nonzero) digits is 43352064, while the sum is 63.

The spelling of 127186427068416 in words is "one hundred twenty-seven trillion, one hundred eighty-six billion, four hundred twenty-seven million, sixty-eight thousand, four hundred sixteen".