1105664559121 has 8 divisors (see below), whose sum is σ = 1177713855360. Its totient is φ = 1034394174528.

The previous prime is 1105664559047. The next prime is 1105664559179. The reversal of 1105664559121 is 1219554665011.

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 1105664559121 - 2⁷ = 1105664558993 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1105664559821) 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, 194724981 + ... + 194730658.

It is an arithmetic number, because the mean of its divisors is an integer number (147214231920).

Almost surely, 2^{1105664559121} is an apocalyptic number.

It is an amenable number.

1105664559121 is a deficient number, since it is larger than the sum of its proper divisors (72049296239).

1105664559121 is a wasteful number, since it uses less digits than its factorization.

1105664559121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 389455823.

The product of its (nonzero) digits is 324000, while the sum is 46.

The spelling of 1105664559121 in words is "one trillion, one hundred five billion, six hundred sixty-four million, five hundred fifty-nine thousand, one hundred twenty-one".