110646416130401 has 8 divisors (see below), whose sum is σ = 121194857425320. Its totient is φ = 100546844677888.

The previous prime is 110646416130361. The next prime is 110646416130413. The reversal of 110646416130401 is 104031614646011.

It can be written as a sum of positive squares in 4 ways, for example, as 21653154357025 + 88993261773376 = 4653295^2 + 9433624^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 110646416130401 - 2⁴⁶ = 40277671952737 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (110646416136401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 112217460086 + ... + 112217461071.

It is an arithmetic number, because the mean of its divisors is an integer number (15149357178165).

Almost surely, 2^{110646416130401} is an apocalyptic number.

It is an amenable number.

110646416130401 is a deficient number, since it is larger than the sum of its proper divisors (10548441294919).

110646416130401 is a wasteful number, since it uses less digits than its factorization.

110646416130401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224434921203.

The product of its (nonzero) digits is 41472, while the sum is 38.

The spelling of 110646416130401 in words is "one hundred ten trillion, six hundred forty-six billion, four hundred sixteen million, one hundred thirty thousand, four hundred one".