17127149142016 has 171 divisors, whose sum is σ = 35100850548169. Its totient is φ = 8356980850688.

The previous prime is 17127149142011. The next prime is 17127149142023. The reversal of 17127149142016 is 61024194172171.

The square root of 17127149142016 is 4138496.

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

It can be written as a sum of positive squares in only one way, i.e., 10060568985600 + 7066580156416 = 3171840^2 + 2658304^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (17127149142011) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 125015687100 + ... + 125015687236.

Almost surely, 2^{17127149142016} is an apocalyptic number.

17127149142016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

17127149142016 is the 4138496-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 17127149142016

17127149142016 is an abundant number, since it is smaller than the sum of its proper divisors (17973701406153).

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

17127149142016 is an frugal number, since it uses more digits than its factorization.

17127149142016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 428 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 46.

The spelling of 17127149142016 in words is "seventeen trillion, one hundred twenty-seven billion, one hundred forty-nine million, one hundred forty-two thousand, sixteen".