110605511166161 has 32 divisors (see below), whose sum is σ = 123042283410816. Its totient is φ = 98587607040000.

The previous prime is 110605511166151. The next prime is 110605511166229. The reversal of 110605511166161 is 161661115506011.

It is a cyclic number.

It is not a de Polignac number, because 110605511166161 - 2⁶ = 110605511166097 is a prime.

It is not an unprimeable number, because it can be changed into a prime (110605511166151) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 82220561 + ... + 83554961.

It is an arithmetic number, because the mean of its divisors is an integer number (3845071356588).

Almost surely, 2^{110605511166161} is an apocalyptic number.

110605511166161 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

110605511166161 is a deficient number, since it is larger than the sum of its proper divisors (12436772244655).

110605511166161 is a wasteful number, since it uses less digits than its factorization.

110605511166161 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1335233.

The product of its (nonzero) digits is 32400, while the sum is 41.

The spelling of 110605511166161 in words is "one hundred ten trillion, six hundred five billion, five hundred eleven million, one hundred sixty-six thousand, one hundred sixty-one".