110518348249 has 9 divisors (see below), whose sum is σ = 116647915167. Its totient is φ = 104695609104.

The previous prime is 110518348231. The next prime is 110518348273. The reversal of 110518348249 is 942843815011.

The square root of 110518348249 is 332443.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 315595225 + 110202753024 = 17765^2 + 331968^2 .

It is not a de Polignac number, because 110518348249 - 2⁷ = 110518348121 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 110518348199 and 110518348208.

It is not an unprimeable number, because it can be changed into a prime (110518340249) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 6307669 + ... + 6325165.

It is an arithmetic number, because the mean of its divisors is an integer number (12960879463).

Almost surely, 2^110518348249 is an apocalyptic number.

110518348249 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

110518348249 is the 332443-rd square number.

110518348249 is the 166222-nd centered octagonal number.

It is an amenable number.

110518348249 is a deficient number, since it is larger than the sum of its proper divisors (6129566918).

110518348249 is an frugal number, since it uses more digits than its factorization.

110518348249 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35032 (or 17516 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 46.

The spelling of 110518348249 in words is "one hundred ten billion, five hundred eighteen million, three hundred forty-eight thousand, two hundred forty-nine".