16771627044864 has 104 divisors (see below), whose sum is σ = 49687643963520. Its totient is φ = 5590542311424.

The previous prime is 16771627044863. The next prime is 16771627044883. The reversal of 16771627044864 is 46844072617761.

16771627044864 is a `hidden beast` number, since 1 + 6 + 7 + 7 + 1 + 62 + 70 + 448 + 64 = 666.

It is a super-3 number, since 3×16771627044864³ (a number of 41 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16771627044863) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 75715992 + ... + 75937175.

Almost surely, 2^{16771627044864} is an apocalyptic number.

It is an amenable number.

16771627044864 is an abundant number, since it is smaller than the sum of its proper divisors (32916016918656).

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

16771627044864 is an equidigital number, since it uses as much as digits as its factorization.

16771627044864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151653200 (or 151653172 counting only the distinct ones).

The product of its (nonzero) digits is 75866112, while the sum is 63.

The spelling of 16771627044864 in words is "sixteen trillion, seven hundred seventy-one billion, six hundred twenty-seven million, forty-four thousand, eight hundred sixty-four".