1368008605161 has 135 divisors (see below), whose sum is σ = 2305103624733. Its totient is φ = 781211922480.

The previous prime is 1368008605151. The next prime is 1368008605163. The reversal of 1368008605161 is 1615068008631.

The square root of 1368008605161 is 1169619.

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

1368008605161 is a `hidden beast` number, since 1 + 36 + 8 + 0 + 0 + 8 + 605 + 1 + 6 + 1 = 666.

It is not a de Polignac number, because 1368008605161 - 2⁹ = 1368008604649 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1368008605163) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 20418038850 + ... + 20418038916.

Almost surely, 2^{1368008605161} is an apocalyptic number.

1368008605161 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1368008605161 is the 1169619-th square number.

1368008605161 is the 584810-th centered octagonal number.

It is an amenable number.

1368008605161 is a deficient number, since it is larger than the sum of its proper divisors (937095019572).

1368008605161 is an frugal number, since it uses more digits than its factorization.

1368008605161 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 1368008605161 in words is "one trillion, three hundred sixty-eight billion, eight million, six hundred five thousand, one hundred sixty-one".