110144020300314 has 384 divisors, whose sum is σ = 311550355759104. Its totient is φ = 25498234944000.

The previous prime is 110144020300309. The next prime is 110144020300319. The reversal of 110144020300314 is 413003020441011.

It is an interprime number because it is at equal distance from previous prime (110144020300309) and next prime (110144020300319).

It is not an unprimeable number, because it can be changed into a prime (110144020300319) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 203507319 + ... + 204047829.

It is an arithmetic number, because the mean of its divisors is an integer number (811329051456).

Almost surely, 2^{110144020300314} is an apocalyptic number.

110144020300314 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 110144020300314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155775177879552).

110144020300314 is an abundant number, since it is smaller than the sum of its proper divisors (201406335458790).

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

110144020300314 is a wasteful number, since it uses less digits than its factorization.

110144020300314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 540722 (or 540715 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 110144020300314 its reverse (413003020441011), we get a palindrome (523147040741325).

The spelling of 110144020300314 in words is "one hundred ten trillion, one hundred forty-four billion, twenty million, three hundred thousand, three hundred fourteen".