170768124081 has 81 divisors (see below), whose sum is σ = 265159284481. Its totient is φ = 105895485696.

The previous prime is 170768124067. The next prime is 170768124091. The reversal of 170768124081 is 180421867071.

The square root of 170768124081 is 413241.

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

170768124081 is a `hidden beast` number, since 170 + 7 + 68 + 12 + 408 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 28835096481 + 141933027600 = 169809^2 + 376740^2 .

It is not a de Polignac number, because 170768124081 - 2⁵ = 170768124049 is a prime.

It is a super-2 number, since 2×170768124081² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (170768124001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 1511222281 + ... + 1511222393.

Almost surely, 2^170768124081 is an apocalyptic number.

170768124081 is the 413241-st square number.

170768124081 is the 206621-st centered octagonal number.

It is an amenable number.

170768124081 is a deficient number, since it is larger than the sum of its proper divisors (94391160400).

170768124081 is an equidigital number, since it uses as much as digits as its factorization.

170768124081 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 384 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 150528, while the sum is 45.

It can be divided in two parts, 170768 and 124081, that added together give a square (294849 = 543²).

The spelling of 170768124081 in words is "one hundred seventy billion, seven hundred sixty-eight million, one hundred twenty-four thousand, eighty-one".