110505413244672 has 288 divisors, whose sum is σ = 332202513303360. Its totient is φ = 36224579911680.

The previous prime is 110505413244631. The next prime is 110505413244679. The reversal of 110505413244672 is 276442314505011.

It is a happy number.

110505413244672 is a `hidden beast` number, since 1 + 1 + 0 + 5 + 0 + 5 + 4 + 132 + 446 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×110505413244672² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110505413244679) 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, 2612832358 + ... + 2612874650.

It is an arithmetic number, because the mean of its divisors is an integer number (1153480948970).

Almost surely, 2^{110505413244672} is an apocalyptic number.

110505413244672 is a gapful number since it is divisible by the number (12) 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 110505413244672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166101256651680).

110505413244672 is an abundant number, since it is smaller than the sum of its proper divisors (221697100058688).

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

110505413244672 is an equidigital number, since it uses as much as digits as its factorization.

110505413244672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48576 (or 48556 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

Adding to 110505413244672 its reverse (276442314505011), we get a palindrome (386947727749683).

The spelling of 110505413244672 in words is "one hundred ten trillion, five hundred five billion, four hundred thirteen million, two hundred forty-four thousand, six hundred seventy-two".