11825045568001 has 16 divisors (see below), whose sum is σ = 12119219557200. Its totient is φ = 11531147443200.

The previous prime is 11825045567999. The next prime is 11825045568019. The reversal of 11825045568001 is 10086554052811.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 5997282634225 + 5827762933776 = 2448935^2 + 2414076^2 .

It is a cyclic number.

It is not a de Polignac number, because 11825045568001 - 2¹ = 11825045567999 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11825045565001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1210461445 + ... + 1210471213.

It is an arithmetic number, because the mean of its divisors is an integer number (757451222325).

Almost surely, 2^{11825045568001} is an apocalyptic number.

It is an amenable number.

11825045568001 is a deficient number, since it is larger than the sum of its proper divisors (294173989199).

11825045568001 is an equidigital number, since it uses as much as digits as its factorization.

11825045568001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20820.

The product of its (nonzero) digits is 384000, while the sum is 46.

The spelling of 11825045568001 in words is "eleven trillion, eight hundred twenty-five billion, forty-five million, five hundred sixty-eight thousand, one".