109819223168 has 72 divisors (see below), whose sum is σ = 232541913105. Its totient is φ = 51649640448.

The previous prime is 109819223149. The next prime is 109819223177. The reversal of 109819223168 is 861322918901.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 100509289024 + 9309934144 = 317032^2 + 96488^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=234328.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 63736355 + ... + 63738077.

Almost surely, 2^109819223168 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 109819223168

109819223168 is an abundant number, since it is smaller than the sum of its proper divisors (122722689937).

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

109819223168 is an frugal number, since it uses more digits than its factorization.

109819223168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3494 (or 1742 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 50.

Multiplying 109819223168 by its sum of digits (50), we get a square (5490961158400 = 2343280²).

The spelling of 109819223168 in words is "one hundred nine billion, eight hundred nineteen million, two hundred twenty-three thousand, one hundred sixty-eight".