1468636168129 has 27 divisors (see below), whose sum is σ = 1613645289243. Its totient is φ = 1336046355072.

The previous prime is 1468636168067. The next prime is 1468636168147. The reversal of 1468636168129 is 9218616368641.

The square root of 1468636168129 is 1211873.

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

It can be written as a sum of positive squares in 13 ways, for example, as 969703020225 + 498933147904 = 984735^2 + 706352^2 .

It is not a de Polignac number, because 1468636168129 - 2³¹ = 1466488684481 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1468636160129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1150066839 + ... + 1150068115.

Almost surely, 2^{1468636168129} is an apocalyptic number.

1468636168129 is the 1211873-rd square number.

1468636168129 is the 605937-th centered octagonal number.

It is an amenable number.

1468636168129 is a deficient number, since it is larger than the sum of its proper divisors (145009121114).

1468636168129 is an frugal number, since it uses more digits than its factorization.

1468636168129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2726 (or 1363 counting only the distinct ones).

The product of its digits is 17915904, while the sum is 61.

The spelling of 1468636168129 in words is "one trillion, four hundred sixty-eight billion, six hundred thirty-six million, one hundred sixty-eight thousand, one hundred twenty-nine".