110045222165600 has 144 divisors (see below), whose sum is σ = 274303970609760. Its totient is φ = 43100942438400.

The previous prime is 110045222165587. The next prime is 110045222165617. The reversal of 110045222165600 is 6561222540011.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 169211 + ... + 14836410.

It is an arithmetic number, because the mean of its divisors is an integer number (1904888684790).

Almost surely, 2^{110045222165600} is an apocalyptic number.

110045222165600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 110045222165600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137151985304880).

110045222165600 is an abundant number, since it is smaller than the sum of its proper divisors (164258748444160).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

110045222165600 is a wasteful number, since it uses less digits than its factorization.

110045222165600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15005833 (or 15005820 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 35.

The spelling of 110045222165600 in words is "one hundred ten trillion, forty-five billion, two hundred twenty-two million, one hundred sixty-five thousand, six hundred".