110141679376 has 45 divisors (see below), whose sum is σ = 221089129183. Its totient is φ = 53153260160.

The previous prime is 110141679371. The next prime is 110141679383. The reversal of 110141679376 is 673976141011.

It is a happy number.

The square root of 110141679376 is 331876.

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

It can be written as a sum of positive squares in 4 ways, for example, as 765960976 + 109375718400 = 27676^2 + 330720^2 .

It is a super-3 number, since 3×110141679376³ (a number of 34 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (110141679371) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 38496186 + ... + 38499046.

Almost surely, 2^110141679376 is an apocalyptic number.

110141679376 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

110141679376 is the 331876-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 110141679376

110141679376 is an abundant number, since it is smaller than the sum of its proper divisors (110947449807).

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

110141679376 is an frugal number, since it uses more digits than its factorization.

110141679376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5788 (or 2892 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 46.

The spelling of 110141679376 in words is "one hundred ten billion, one hundred forty-one million, six hundred seventy-nine thousand, three hundred seventy-six".