110016469640112 has 240 divisors, whose sum is σ = 332480891289600. Its totient is φ = 31255935728640.

The previous prime is 110016469640069. The next prime is 110016469640113. The reversal of 110016469640112 is 211046964610011.

It is a happy number.

110016469640112 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (110016469640113) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 316403089 + ... + 316750607.

It is an arithmetic number, because the mean of its divisors is an integer number (1385337047040).

Almost surely, 2^{110016469640112} is an apocalyptic number.

110016469640112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 110016469640112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166240445644800).

110016469640112 is an abundant number, since it is smaller than the sum of its proper divisors (222464421649488).

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

110016469640112 is a wasteful number, since it uses less digits than its factorization.

110016469640112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 348304 (or 348291 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 42.

The spelling of 110016469640112 in words is "one hundred ten trillion, sixteen billion, four hundred sixty-nine million, six hundred forty thousand, one hundred twelve".