1167326824041 has 27 divisors (see below), whose sum is σ = 1961464828791. Its totient is φ = 667030934304.

The previous prime is 1167326823997. The next prime is 1167326824091. The reversal of 1167326824041 is 1404286237611.

The square root of 1167326824041 is 1080429.

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

1167326824041 is a `hidden beast` number, since 1 + 167 + 3 + 2 + 6 + 82 + 404 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 359485384041 + 807841440000 = 599571^2 + 898800^2 .

It is not a de Polignac number, because 1167326824041 - 2⁷ = 1167326823913 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1167326824091) 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, 22663285 + ... + 22714733.

Almost surely, 2^{1167326824041} is an apocalyptic number.

1167326824041 is the 1080429-th square number.

1167326824041 is the 540215-th centered octagonal number.

It is an amenable number.

1167326824041 is a deficient number, since it is larger than the sum of its proper divisors (794138004750).

1167326824041 is an frugal number, since it uses more digits than its factorization.

1167326824041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102918 (or 51459 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 1167326824041 in words is "one trillion, one hundred sixty-seven billion, three hundred twenty-six million, eight hundred twenty-four thousand, forty-one".