168353142159409 has 27 divisors (see below), whose sum is σ = 179268395778507. Its totient is φ = 158070312911424.

The previous prime is 168353142159289. The next prime is 168353142159427. The reversal of 168353142159409 is 904951241353861.

The square root of 168353142159409 is 12975097.

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., 131070785418225 + 37282356741184 = 11448615^2 + 6105928^2 .

It is not a de Polignac number, because 168353142159409 - 2²⁵ = 168353108604977 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (168353142159439) 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, 141830784714 + ... + 141830785900.

Almost surely, 2^{168353142159409} is an apocalyptic number.

168353142159409 is the 12975097-th square number.

168353142159409 is the 6487549-th centered octagonal number.

It is an amenable number.

168353142159409 is a deficient number, since it is larger than the sum of its proper divisors (10915253619098).

168353142159409 is an frugal number, since it uses more digits than its factorization.

168353142159409 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3694 (or 1847 counting only the distinct ones).

The product of its (nonzero) digits is 27993600, while the sum is 61.

The spelling of 168353142159409 in words is "one hundred sixty-eight trillion, three hundred fifty-three billion, one hundred forty-two million, one hundred fifty-nine thousand, four hundred nine".