110219352049 has 27 divisors (see below), whose sum is σ = 119463251691. Its totient is φ = 101669536320.

The previous prime is 110219352041. The next prime is 110219352073. The reversal of 110219352049 is 940253912011.

The square root of 110219352049 is 331993.

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., 85810914225 + 24408437824 = 292935^2 + 156232^2 .

It is not a de Polignac number, because 110219352049 - 2³ = 110219352041 is a prime.

It is a super-2 number, since 2×110219352049² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 110219351999 and 110219352017.

It is not an unprimeable number, because it can be changed into a prime (110219352041) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 332988814 + ... + 332989144.

Almost surely, 2^110219352049 is an apocalyptic number.

110219352049 is the 331993-rd square number.

110219352049 is the 165997-th centered octagonal number.

It is an amenable number.

110219352049 is a deficient number, since it is larger than the sum of its proper divisors (9243899642).

110219352049 is an frugal number, since it uses more digits than its factorization.

110219352049 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 814 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 37.

The spelling of 110219352049 in words is "one hundred ten billion, two hundred nineteen million, three hundred fifty-two thousand, forty-nine".