110392194819361 has 27 divisors (see below), whose sum is σ = 139054577646771. Its totient is φ = 87342518534544.

The previous prime is 110392194819317. The next prime is 110392194819377. The reversal of 110392194819361 is 163918491293011.

It is a happy number.

The square root of 110392194819361 is 10506769.

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., 16330206334225 + 94061988485136 = 4041065^2 + 9698556^2 .

It is not a de Polignac number, because 110392194819361 - 2¹³ = 110392194811169 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 110392194819296 and 110392194819305.

It is not an unprimeable number, because it can be changed into a prime (110392194819161) 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, 956058250 + ... + 956173708.

It is an arithmetic number, because the mean of its divisors is an integer number (5150169542473).

Almost surely, 2^{110392194819361} is an apocalyptic number.

110392194819361 is the 10506769-th square number.

110392194819361 is the 5253385-th centered octagonal number.

It is an amenable number.

110392194819361 is a deficient number, since it is larger than the sum of its proper divisors (28662382827410).

110392194819361 is an frugal number, since it uses more digits than its factorization.

110392194819361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230958 (or 115479 counting only the distinct ones).

The product of its (nonzero) digits is 2519424, while the sum is 58.

The spelling of 110392194819361 in words is "one hundred ten trillion, three hundred ninety-two billion, one hundred ninety-four million, eight hundred nineteen thousand, three hundred sixty-one".